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5-4 SOLVING COMPOUND INEQUALITIES Objectives: 1. Solve compound inequalities with one variable. 2. Graph solution sets of compound inequalities with one

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3.6 Solving Compound Inequalities

5-4 Solving Compound InequalitiesObjectives:Solve compound inequalities with one variable.Graph solution sets of compound inequalities with one variable.

Compound InequalityCompound inequality When two simple inequalities are combined into one statement by the words AND or OR.

Intersection (AND) overlapping section

Union (OR) combining regions

Example 1: Graph the following compound inequalities.

You tryExample 3: The temperature this week was between 42 F and 78F.

a) Write a compound inequality.

b) Graph the inequality.

Trivia1. How many states is Yellowstone National Park a part of?3 Wyoming, Montana, & Idaho2. In 1994, what NBA team failed to make the playoffs for the first time since 1976?

L.A. LakersWhich breed of dog is the favorite of the queen of England?

Corgi

Example 4: My bank account must have more than $100 but at most $500.

a) Write a compound inequality.

b) Graph the inequality.

Example 5: Solve and graph.

You try

You try

Example 6: Write the compound inequality shown by the graph.A.B.

C. 0512-407-306Practice WSHomeworkPages 308-310: 7-27 odd, 31, 33, 39

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