Solving Compound Inequalities 5-4 Notes for Algebra 1 Solving Compound Inequalities

Compound Inequality Inequalities containing the words “and” or “or”

Intersection A graph of “and” inequalities. Part of the graphs where the two solutions overlap

Example 1 pg. 306 Solve and Graph Intersection Solve 7<𝑧+2 < 11. Then graph the solution set.

Example 1 pg. 306 Solve and Graph Intersection Solve 7<𝑧+2 < 11. Then graph the solution set. 𝑧 5<𝑧 < 9 4 5 7 9 10

Union Graph of “or” inequalities. “or” inequalities are true if at least one of the inequalities is true.

Example 2 pg. 307 Write and graph a compound inequality TRAVEL A ski resort has several types of hotel rooms and cabins. The hotel rooms cost at most $89 per night and the cabins cost at least $109 per night. Write and graph a compound inequality that describes the amount a guest would pay per night at the resort.

Example 2 pg. 307 Write and graph a compound inequality TRAVEL A ski resort has several types of hotel rooms and cabins. The hotel rooms cost at most $89 per night and the cabins cost at least $109 per night. Write and graph a compound inequality that describes the amount a guest would pay per night at the resort. 𝑛 𝑛 < 89 𝑜𝑟 𝑛 > 109 , where 𝑛 is the amount a guest pays per night. 79 89 99 109 119

Example 3 pg. 308 Solve and Graph a Union Solve 4𝑘−7 < 25 or 12−9𝑘 > 30. Then graph the solution set. 𝑘 𝑘 < 8 −1 2 5 8 11

5-4 pg. 508 7-27o, 28-36, 45-72(x3)