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To be a solution of an or inequality, a value has to make only one part of the inequality true. Using interval notation, we can describe each of these inequalities separately: [latex]x\gt6[/latex] is the same as [latex]\left(6, \infty\right)[/latex] and [latex]x<2[/latex] is the same as [latex]\left(\infty, 2\right)[/latex]. Compound Inequalities. Graphing the inequality helps with this interpretation. Found inside – Page 77Lesson 4.3 - Compound Inequalities The inequalities that we studied in the last ... -2 > -4 and 0 So C. 4 3 7 or 4 2 6 d . 7 < 5 or 7 < 6 Solution : a . For 3x - 5 = 16, the only solution is x = 7. Only one of the two inequalities have to be true for there to be a solution Ex: x> 6 OR x<2 Case 1 Solution graph: Case 2 Solution graph: Case 3 Solution graph: The solution to an "and" inequality is always the overlap. Please try again using a different payment method. Let's take a closer look at a compound inequality that uses or to combine two inequalities.For example, x > 6 or x < 2.The solution to this compound inequality is all the values of x in which x is either greater than 6 or x is less than 2. The solutions for inequalities generally involve the same basic rules as equations. Also asked, what is an example of a compound inequality? Always put the numbers in numerical order (smaller number on the left) and be sure that when you put both . STUDY. In this section we will learn how to solve compound inequalities that are joined with the words AND and OR. x>-5 -----Combining the inequalities you get:-5= x =4 Cheers . We . Solving and Graphing Compound Inequalities in the Form of "or" Let's take a closer look at a compound inequality that uses or to combine two inequalities. Write the compound inequality shown by each graph. A compound inequality is a sentence with two inequality statements joined either by the word "or" or by the word "and.". 4 and [latex]−4[/latex] are both four units away from 0, so they are solutions. Compound Inequalities Word Problems. is a real number that will produce a true statement when substituted for the variable. Subtract 6 from each part of the inequality. هل يعالج الطبيب أوراقا صمّاء ، أوأناسا من لحم ودم و أعصاب ؟ ، وبلا أية عقلانية أو حذلقة . Sign In to Tutor. As we saw in the last . Graph the solution. [latex]\begin{array}{r}-12<2y+6<12\\\underline{\,\,-6\,\,\,\,\,\,\,\,\,\,\,\,\,-6\,\,\,-6}\\-18\,<\,2y\,\,\,\,\,\,\,\,\,<\,\,6\,\end{array}[/latex], [latex]\begin{array}{r}\underline{-18}<\underline{2y}<\underline{\,6\,}\\2\,\,\,\,\,\,\,\,\,\,\,2\,\,\,\,\,\,\,\,\,\,2\,\,\\-9<\,\,y\,\,\,\,<\,3\end{array}[/latex], Inequality: [latex] \displaystyle -9<\,\,y\,\,<3[/latex], Interval: [latex]\left(-9,3\right)[/latex]. Compound Inequalities is a method to find the variable value for the given compound inequalities. وعلى الرغم من أن العمل بالأدوية … →, تعريفها ودواعي إستخدامها: الحجامة لغة : مشتقة من حجم وحجّم تقول : حجم فلان الأمر أي أعاده إلى حجمه الطبيعي . The solution is all real numbers that are greater than or equal to 2 . Again, you could think of the number line and what values of x are greater than 3 units away from zero. Compound Inequality (con't) 21. Try [latex]−10[/latex], a value less than [latex]−7[/latex], and 5, a value greater than 1, to check the inequality. Solve for x. تبنّت منظمة الصحة العالمية برامج جديدة لوضع سياسة عالمية للأدوية النباتية ، ودراسة احتمالات استخدامها وتعميمها في المجال المعملي واختبار الأمان . You could start by thinking about the number line and what values of x would satisfy this equation. the point is a solution of the inequality. −2 ≤ 3b + 7 ≤ 13 8. x − 3 < −3 OR x − 3 ≥ 3 . The following video contains an example of solving a compound inequality involving OR, and drawing the associated graph. When finding the solution for an equation we get one answer for x. Found inside – Page 134Figure 7-6: The graph of , the solution to the inequality 4(x + 2) – 1 ≥ 7x + 5. Compound Inequalities Two inequalities for ... Interval. Our online expert tutors can answer this problem. The solution to an and compound inequality are all the solutions that the two inequalities have in common. -2 < x < 5. x < 3 or x > 6. [latex]3\lt2x+3\leq 7[/latex]. case E) Replace the values of x and y in the inequality, if the inequality is true, then the point is the solution of the inequality.-----> is True. A compound inequality consists of two inequalities that are joined together by the word "and" or the word "or". Below are two compound inequalities examples. 4 Solve Compound Inequalities Containing or. And that is the solution! Inequality: [latex] \displaystyle x>5\,\,\,\,\text{or}\,\,\,\,x<3[/latex], Interval: [latex]\left(-\infty, 3\right)\cup\left(5,\infty\right)[/latex]. BYJU'S online compound inequality calculator tool makes the calculation faster, and it displays the inequality equation in a fraction of seconds. When you place both of these inequalities on a graph, we can see that they share no numbers in common. Sign In to Solutions. المريض إذا أخذ العلاج يكون قد أخذ بالسبب ، ولكن ذلك السبب ليس بحتمي لحصول الشفاء ، الذي لايمتلكه ولايهبه ولا يقدر عليه إلا السميع العليم ، الذي إذا أراد بحكمته أن ينفع السبب نفع ، وإذا شاء بقدرته تعالى أن يبطله فلن يجدي نفعا . Identifies that the solution to a compound inequality known as the conjunction is the shared part on the number line. When two inequalities are joined by the word and, the solution of the compound inequality occurs when both inequalities are true at the same time. 6 ≤3x ≤ 18 Add 8 to each expression. Compound Inequality Calculator is a free online tool that displays the inequality equation with number line representation when the compound inequality is given. إستعمال النباتات الطبيعية لا يخلو من الخطر، نظرا لعدم وضوح الجرعة أو الكميّة عند أخذ المريض لها كعلاج ، وذلك لأنه لا يعي تماما وبدقّة كم من المكوّنات الفاعلة يتلقّى ، بالإضافة إلى إحتمال أن تتعرّض تلك النباتات إلى النور الذي يتلف نكهتها و يفسد مذاقها ويقضي على قدراتها العلاجية . Decide whether the provided number is a solution. therefore. Found inside – Page 90Solution : You want to isolate the x where the 3x + 2 now is , so start by subtracting 2 ... Example 5 : Graph the compound inequality –14 < x5-6 . Solution ... Solve for y. جميع الأطباء في التخصصات الحديثة الذين أنكروا واستهجنوا العلاج بالأعشاب والنباتات الطبيعية ، كان الأولى سؤالهم : هل تعلمتم عن الأعشاب ومشتقاتها وخصائصها ؟؟ ؟ ، فإذا كان الجواب بالنفي فلا مبرر أصلا لسؤالهم عن الأعشاب وفوائدها وموانعها ، لإن الإنكار أمر سهل يدل على جهل صاحبه وضيق أفقه ، والإنكار قليله أو كثيره يعبّر عن سوء فهم وأخلاق الناكر فقط لاغير ، ثم إنّ أعلى هيئة طبية على المستوى العالمي هي منظمة الصحة العالمية التي تبنّت وأقرّت العلاج بالأعشاب و أساليب الطب التقليدي الأخرى . المعدة، الكبد ، التجميل ، العقم ، الإلتهابات النسائية ، الضعف الجنسي للجنسين ، أورام الثدي، البواسير ، الإكزيما الجلدية ، الروماتيزم … ينبغي الإتصال على الأرقام التالية: Inequalities - Compound Inequalities Objective: Solve, graph and give interval notation to the solution of compound inequalities. The solution for compound inequalities depends on whether the words "and" or "or" are used to connect the individual statements. For any positive value of a and x, a single variable, or any algebraic expression: Let’s look at a few more examples of inequalities containing absolute values. When the two inequalities are joined by the word or, the solution of the compound inequality occurs when either of the inequalities is true. Found inside – Page 123Compound Inequalities A compound inequality is formed by connecting two ... 3x-2<4 and 2x+ 10> 4 +2+2 -10-10 3x<6 2x>—6 x<2 and x>-3 The solution is the ... Found inside – Page 170Solution This is the compound inequality to solve. ... 1 x 3 x 2 2 2x 2 6 2 4 2 6 4 2 2, 2 2 0 2 2x 6 The solution set is and it is graphed as shown. There is no overlap between [latex] \displaystyle x>3[/latex] and [latex]x<1[/latex], so there is no solution. Identifies that the solution to a compound inequality known as the disjunction is the combined parts on the number line. A number is a solution of a compound inequality formed by the word AND if it is a solution of both inequalities. Found inside – Page 109Draw a number line graph for the solution and also report the solution in interval ... Consider the compound inequality 2 > -3x + 52 -6 from Example 2. First, let's solve each inequality separately: 6b < 24 6 b < 24. Compound Inequalities Card Match Activity Distance Learning Option Included Compound Inequalities . Steps for solving a compound inequalities involving AND Step 1. 25 30 35 30 20 25 Solve each compound inequality. Explanation: The given equation is: c + 4 = -1 So, c = -4 - 1 c = -5 Hence, from the above, We can conclude that -6 is not a solution to the given inequality. 0022222309160. You can rewrite [latex]x\ge−1\,\text{and }x\le5[/latex] as [latex]−1\le x\le 5[/latex] since the solution is between [latex]−1[/latex] and 5, including [latex]−1[/latex]. The solution to the compound inequality [latex]x\gt3[/latex] or [latex]x\le4[/latex] is the set of all real numbers, and can be described in interval notation as [latex]\left(-\infty, \infty\right)[/latex]. The word "and" is also known as a conjunction. ولا توجد أية حكمة أو فكرة موازية لها في أيّ تخصص طبي مأخوذة من الطب الحديث (( الحيوي )) . Found inside – Page 200To isolate the variable term in the SOLUTION a • — 6 × 2x – 5 = – 1 middle, add 5. ... 2 3 4 5 6 7 8 9 10 c. First rewrite as a single compound inequality. −15 < x − 8 < −4 6. In the next section you will see examples of how to solve compound inequalities containing and. A number x is greater than -8 and less than or equal to 4., A number y is at most 0 or at least 2., A number p is less than 6 and greater than 2., A number -7 2/3 or at most -10 Writing Inequalities Solving Compound Inequalities with And Found inside – Page 82The solution set for the compound inequality -4 s 5x – 2 and 5x – 2 < 7 can be written more simply as ... EXAMPLE 6 - Solving a Double Inequality –7 < 5X. Found insideSolve Real-World Problems Using Compound Inequalities Many application problems require the use of compound inequalities to find the solution. Example 6 The ... There is one exception, which we will soon discover. الطب التقليدي ( الشعبي ) يمكن له أن ينظّم و يقنّن ويدرّس بشكل واسع ومنهجي ، وبالمقابل يمكن أن يكون الطب التقليدي ( الشعبي ) بمنتهى السرية والخفاء وذو ألغاز ، ومحدود محليا بشكل كبير ، ويمكن له أن يعتمد على أعراض فيزيائية صريحة ، أو على مدركات وقوى خارقة للطبيعة ، وعلى المستوى الدولي فإنه لا يمكن وضع تعريف دقيق وموحّد للطب الشعبي (( التقليدي )) يتضمن خصائصه ووجهة نظرياته المتداخلة والمتعاكسة ، إلّا أن تعريفه بشكل عملي يمكن أن يكون مفيدا وأساسيا ، وحسب منظمة الصحة العالمية who فإن تعريفه يجب أن يكون شاملا وواسعا وأكثر دقة . As we saw in the last section, the solution of a compound inequality that consists of two inequalities joined with the word or is the union of the solutions of each inequality. The distance between these two values on the number line is colored in blue because all of these values satisfy the inequality. In the last video that follows, you will see an example of solving an absolute value inequality where you need to isolate the absolute value first. a statement formed by two or more inequalities. In the following video, you will see an example of solving multi-step absolute value inequalities involving an OR situation. Step 2. [latex] \displaystyle \begin{array}{l}5z-3>-18\,\,\,\,\,\,\,\,\,\text{OR}\,\,\,\,\,\,\,-2z-1>15\\\underline{\,\,\,\,\,\,+3\,\,\,\,\,\,\,+3}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{\,\,\,\,\,\,\,\,\,+1\,\,\,\,+1}\\\frac{5z}{5}\,\,\,\,\,\,\,\,>\,\frac{-15}{5}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{-2z}{-2}\,\,\,\,\,\,<\,\,\frac{16}{-2}\\\,\,\,\,\,\,\,\,\,\,z>-3\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,z<-8\\\\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,z>-3\,\,\,\,\text{or}\,\,\,\,z<-8\end{array}[/latex], Inequality: [latex] \displaystyle z>-3\,\,\,\,\text{or}\,\,\,\,z<-8[/latex]. 4x+525 and 3x+6<21 Graph the solution on the number line. The solution to this compound inequality can also be shown graphically. The solution could be all the values between two endpoints. Solve the compound inequality 6>-4x+5 or 12≤-3x+5? [latex]z<-8[/latex] has solutions that continue all the way to the left on the number line, whereas [latex]x>-3[/latex] has solutions that continue all the way to the right. It can either be written as x > -1 . Because we are multiplying by a negative number, the inequalities change direction. Subscribe. منذ سنين عديدة بدأت الأمراض المعدية بمقاومة المضادات الحيوية ، وفي أحيان كثيرة قضت الأولى على الثانية . As we saw in the last sections, this is where the two graphs overlap. Write. Spell. Compound inequalities can be manipulated and solved in much the same way any inequality is solved, by paying attention to the properties of inequalities and the rules for solving them. Ex: 2 < x < 6 x> 2 AND x<6 "or" statements will always have a _____. Tap card to see definition . Found inside – Page 213Inequalities Involving Absolute Values Solving an Absolute Value ... The graph of this solution set is shown below. x 2 43 5 6 7 8 2 units 2 units b. Preview this quiz on Quizizz. Click card to see definition . “الوقاية خير من العلاج” في مجال الصحة العمومية يرجع إلى كتاب هوانغدي نيجين ، وهو أهم كتاب عن الطب الصيني القديم. The graph of this inequality will have two closed circles, at 4 and [latex]−4[/latex]. Thus, the solution set is the intersection of the solution sets of the two inequalities. [latex] \displaystyle \begin{array}{r}\left| 2x+3 \right|+9\,\le \,\,\,7\,\,\\\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-9\,\,\,\,\,-9}\\\,\,\,\,\,\,\,\left| 2x+3 \right|\,\,\,\le -2\,\end{array}[/latex]. 1. Click again to see term . High School Math Solutions – Inequalities Calculator, Exponential Inequalities. Since this is a “greater than” inequality, the solution can be rewritten according to the “greater than” rule. Found inside – Page 1000 EXAMPLE 7 Solving a Coniunctive Inequality Solve the compound inequality —1 5 2x — 3 ... Solution I316 + 6 S 2 01' I316 + 6 2 7 Write original inequality. When doing this, be very careful what you say. Question 4. Example 1 If 5 . يعالج الطبيب المرضى من البشر، وبالتالي فهو يتعامل معهم مباشرة ودون … →, بسم الله الرحمن الرحيم م : تزكية : الأستاذ سيدي بن عبدالجليل العلوي أعرفه معرفة يقينيّة ، وهوأخ فاضل و طبيب بارع و حاذق، يمتلك ذاكرة قوية و حافظة نادرة، يفهم سريعا وينتج بحوثا كثيرة و مميزة ، لا يقول … →, ينبغي التمييز بين ضرورة البحث العلمي والإكتشافات من جهة ، وعملية تطبيقها لصالح المجموع البشري من جهة أخرى . The text also includes technology features to accommodate courses that allow the option of using graphing calculators. The authors' proven Aufmann Interactive Method allows students to try a skill as it is presented in example form. Solve the compound inequality. You will use the same properties to solve compound inequalities that you used to solve regular inequalities. A compound inequality (or combined inequality ) is two or more inequalities joined together with or or and . For example, x > 6 or x < 2. Found inside – Page 1-99A compound inequality using the connective “ and ” is true if and only if ... 3 < 5 b ) 6 > 2 and 6 < 5 Solution a ) The compound inequality is true because ... x > 7 or x < -3 is a compound inequality, also known as a disjunction, because it is two inequalities connected by the word 'or'. [latex]3x–1<8[/latex] or [latex]x–5>0[/latex], [latex] \displaystyle \begin{array}{r}x-5>0\,\,\,\,\,\,\,\,\text{OR}\,\,\,\,\,\,\,\,\,\,3x-1<8\\\underline{\,\,\,+5\,\,+5}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{\,\,\,\,\,\,+1\,+1}\\x\,\,\,\,\,\,>5\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{3x}\,\,\,<\underline{9}\\{3}\,\,\,\,\,\,\,\,\,\,\,\,\,{3}\\x<3\,\,\,\\x>5\,\,\,\,\text{or}\,\,\,\,x<3\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\end{array}[/latex]. The solution to this compound inequality is all the values of x in which x is either greater than 6 or x is less than 2. Combine the solutions. Practice: Solve each compound inequality and graph its solution. الحمل الطبيعي هو الذي يحتل تجويف الرحم , إلاّ أنّ البوّيضة الملقّحة قد لاتصل إلى الرحم فتبقى في قناة فالوب , أي داخل الأنبوب الموصل من المبيض إلى تجويف الرحم , وفي بعض الحالات قد يحدث ذلك في تجويف البطن … →, المنتجات الطبيعية لشركات الأغذية والمكمّلات الغذائية, أسئلة ومطالب وأجوبة عن عمليات ترقيع غشاء البكارة : م / 2, استراتيجية منظمة الصحة العالمية في الطب التقليدي (الشعبي) 2014-2023, المطبوعات الصادرة عن منظمة الصحة العالمية, مواقع عالمية للطب التكميلي والبديل والتقليدي, منظمة الصحة العالمية تحدّث إرشادات عالمية بشأن الأدوية واختبارات التشخيص, أنواع العدوى المنقولة جنسيا / منظمة الصحة العالمية, المكمّلات الغذائية : تعريفها وفوائدها الصحية, النوبة القلبية :يجب التحذيرمن رسائل لاتتوقف عندك, التقرير العالمي الأول لمنظمة الصحة العالمية عن مقاومة المضادات الحيوية يكشف عن تهديد خطير يحدق بالصحة العمومية في جميع أنحاء العالم, مراجع مترجمة تتناول الطب البديل ودور منظمة الصحة العالمية : م / 1, الجماع :عقلية أداء الواجب الزوجي عندالجماع, كليات الطب البشري هل تفهم الإنسان ؟؟ :مقال تشخيصي, الحجامة : تعريفها وفوائدها وموانع استعمالها, العلاج بالاعشاب والنباتات الطبيعية:مدخل ونظرة عامة تشخيصيّة, استيراتيجية منظمة الصحة العالمية 2014-2023, تعريف وشرح المصطلحات في الطب التقليدي الشعبي. يقول الدكتور … →, حماية البشرة وعلاج حب الشباب والبثور صورقبل وبعد, تفرز المعدة كمية محدّدة من سائل يتكوّن في الأساس من حمض الهيدروكلوريك ومجموعة من الانزيمات ومواد كيميائية أخرى، لها دور في عملية هضم الطعام ،لكن قد يتسلل هذا الحمض إلى المريء الذى يصل الفم بالمعدة، قد يسبّب حرقا في بطانته … →. We can write “no solution,” or DNE. Compound Inequalities x + 3 6 8 and x 7 2 2x 3 Ú 5 or -x + 10 6 7 1 Finding the Intersection of Two Sets The solution set of a compound inequality formed by the word and is the intersec-tion of the solution sets of the . Linear inequalities have either infinitely many solutions or no solution. Compound Inequalities and absolute value (3.6 & 3.7) DRAFT. Union of Inequalities . -11-10-9 -8 -7-6 -5 -4 -3 -2 -1 0 1 2 3 45 6 7 8 9 10 11 Edit. Divide both sides by 3 to isolate the absolute value. AND is the intersection (∩) of the inequalities. [latex]2y+7\lt13\text{ or }−3y–2\lt10[/latex], [latex] \displaystyle \begin{array}{l}2y+7<13\,\,\,\,\,\,\,\,\,\text{OR}\,\,\,\,\,\,\,-3y-2\le 10\\\underline{\,\,\,\,\,\,\,-7\,\,\,\,-7}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{\,\,\,\,\,\,+2\,\,\,\,\,+2}\\\frac{2y}{2}\,\,\,\,\,\,\,\,<\,\,\,\frac{6}{2}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{-3y}{-3}\,\,\,\,\,\,\,\,\ge \frac{12}{-3}\\\,\,\,\,\,\,\,\,\,\,y<3\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,y\ge -4\\\\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,y<3\,\,\,\,\text{or}\,\,\,\,y\ge -4\end{array}[/latex]. تؤكد الدلائل و البحث العلمي المتواصل أن المكوّنات الفعالة لكثير من النباتات الطبيعية تتفاعل بطرق معقدة لإحداث التأثير العلاجي للدواء ككل ، وهو مايحتاج إلى خبرة العشّاب التي تقدم في الغالب الدليل الأعمق،والأكثر مصداقية على التأثير الإيجابي للنباتات وطرق استعمالها ،لأن قيمة النبتة لايمكن اختزالها في لائحة مكوّناتها الفعالة. Found inside – Page 136(Section 3.6/ Objective 3) The solution set of a compound inequality formed ... Thus the compound inequality )6 < 1 orx < 5 is satisfied by all numbers less ... "And" indicates that both statements of the compound sentence are true at the same time. In other words, this solution satisfies both inequalities. Here are a few examples of compound inequalities: x > -2 and x < 5. In this . A compound inequality is a sentence with two inequality statements joined either by the word "or" or by the word "and.". Solve for x. Let's take a closer look at a compound inequality that uses or to combine two inequalities. Solution. Compound Inequalities. Is 5 a solution to the compound inequality -3 x 6 _____ 5. Solution for Solve the compound inequality. (The region of the line greater than 3 and less than or equal to 4 is shown in purple because it lies on both of the original graphs.) علم الطب ليس اكتشافا حديثا ، وإنما منذ آلاف القرون ، والطب يمارس بمختلف فروعه وتخصّصاته ، حيث كان يتم إجراء كل العمليات الخطيرة بما فيها عمليات اسئصال أورام المخ مع دقتها وخطورتها بنجاح منقطع النظير ، وكذلك كان ومازال يتم علاج أمراض الدورة الدموية ، الكبد ، الكلى ، البواسير ، الأمراض التناسلية عند الجنسين ، العقم ، وجميع الأمراض بما فيها السكري الذي تم اكتشافه قبل 1700 سنة قبل الميلاد بالأعشاب والنباتات الطبيعية . This inequality is read, “the absolute value of x is less than or equal to 4.” If you are asked to solve for x, you want to find out what values of x are 4 units or less away from 0 on a number line. Solve Compound Inequalities in the Form of "and" and Express the Solution Graphically The solution of a compound inequality that consists of two inequalities joined with the word and is the intersection of the solutions of each inequality.In other words, both statements must be true at the same time. Then, solve both inequalities and graph. Solving and Graphing Compound Inequalities in the Form of "or". The solution to this compound inequality is all the values of x in which x is . Compound inequalities: OR. What do you notice about the graph that combines these two inequalities? It is the overlap or intersection of the solution sets for the individual statements. The graph would look like this: On the other hand, if you need to represent two things that don’t share any common elements or traits, you can use a union. Sometimes, an and compound inequality is shown symbolically, like [latex]a
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