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3.6 Solving Compound Inequalities. Language Goal  Students will be able to read and say compound inequalities. Math Goal  Students will be able to solve

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Algebra 3.6

Algebra 3.63.6 Solving Compound InequalitiesLearning TargetsLanguage GoalStudents will be able to read and say compound inequalities.

Math GoalStudents will be able to solve and graph compound inequalities.

Essential QuestionWhat are the differences between the graphs of an inequality and a compound inequality?

Warm-up

Homework Check

Homework Check

Homework Check

Homework Check

Take Quiz 3.1 3.3 Good Luck!

You will do great!VocabularyCompound Inequality

Intersection

UnionWhen two simple inequalities are combined into one statement by the words AND or OR.Example: x > 3 and x < -2A compound inequality involving AND by using the idea of an overlapping region. Shows the numbers that are solutions of both inequalities.A compound inequality involving OR by using the idea of combining regions. Shows the numbers that are solutions of either inequality.Graphing Inequalities ReviewGraphing compound InequalitiesWhat is an Intersection?What is an Union?Practice GraphingWord Problem InequalitiesWord Problem InequalitiesA water analyses recommends that the pH level of swimming pool water be between 7.2 and 7.6 inclusive. Write a compound inequality to show the pH levels that are within the recommended range. Graph the solution.Word Problem InequalitiesThe free chlorine level in a pool should be between 1.0 and 3.0 parts per million inclusive. Write a compound inequality to show the levels that are within this range. Graph the solution.Word Problem InequalitiesThe pH of a popular shampoo is between 6.0 and 6.5 inclusive. Write a compound inequality to show the pH levels of this shampoo. Graph the solution.Solving Compound Inequalities involving ANDSolving Compound Inequalities involving ANDSolving Compound Inequalities involving ORSolving Compound Inequalities involving ORSolving Compound Inequalities involving ORSolving Compound Inequalities involving ORSolving Compound Inequalities involving AND/ORSolving Compound Inequalities involving AND/ORWriting a compound Inequality from a graphWrite the compound inequality shown by each graph.1.

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