Solving Compound Inequalities Notes.docx

 Solving Compound InequalitiesName: A compound inequality is two simple inequalities joined by “and” or “or”. AndSolving an "And" Compound Inequality3x - 9 < 12 and 3x - 9 > -3Also written ... Or written ...Isolate the variable between the two inequality signs(or solve each side separately.)The solution is 2 < x < 7,which can be read x > 2 and x < 7.Graph the solution set on a number line. The solution to the compound inequality is where the two individual inequalities intersect. 1473200762002387600292100Practice: Solve each compound inequality and graph the solution set.1. and 2. 3.4. andOrSolving an "Or" Compound Inequality2x + 3 < 7? or? 5x + 5 > 25Also written ...????? 2x + 3 < 7?? 5x + 5 > 25Solve the first inequality?Solve the second inequalityThe solution is x < 2 or? x > 4. Graph the solution set on a number line. The solution to the compound inequality is where either of the solutions are. 2857500101600287020020320010414002032002286000101600Practice: Solve each compound inequality and graph the solution set.5. or 6. or 7. or 8. or SUMMARYAdditional Practice: Write a compound inequality for each solution set shown below. Define a variable write a compound inequality, solve and graph each problem. A number is less than 5 and greater than -2.A number is greater than 4 or less than 3. The sum of three times a number and two lies between 8 and ll. Eight less than 4 times a number is at most 24 and at least -12. ................
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