Warm-Up 1.Solve 2p – 22  4p Find the inverse of f(x)=2x+1

CCSS Content Standards A.CED.1 Create equations and inequalities in one variable and use them to solve problems. A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. Mathematical Practices 1 Make sense of problems and persevere in solving them. 8 Look for and express regularity in repeated reasoning. Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Then/Now You solved inequalities. Solve compound inequalities containing the word and, and graph their solution set. Solve compound inequalities containing the word or, and graph their solution set.

Compound Inequality Two inequalities considered together! EX: h>1 and h<5

Intersection: The graphs of where two inequalities overlap. “AND”- both inequalities are true. EX: h>1 and h<5

Example 1 Solve 7 < z + 2 ≤ 11. Graph the solution set.

Example 1 Solve –3 < x – 2 < 5. Then graph the solution set.

Union: A compound inequality is true if at least one inequality is true. “or” EX: h 5

Example 3 Solve 4k – 7 ≤ 25 or 12 – 9k ≥ 30. Graph the solution set.

Example 3 Solve –2x Then graph the solution set.

Example 2 TRAVEL A ski resort has several types of hotel rooms and several types of 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 that a guest would pay per night at the resort.

Example 2 Write and Graph a Compound Inequality Graph n ≤ 89. Find the union. Answer:{n | n ≤ 89 or n ≥ 109} Now graph the solution set. Graph n ≥ 109.

Example 2 TICKET SALES A professional hockey arena has seats available in the Lower Bowl level that cost at most $65 per seat. The arena also has seats available at the Club Level and above that cost at least $80 per seat. Write and graph a compound inequality that describes the amount a spectator would pay for a seat at the hockey game. A.c ≤ 65 or c ≥ 80 B.c ≥ 65 or c ≤ 80 C.c ≥ 65 or c ≥ 80 D.c ≤ 65 or c ≤ 80

Homework: Back of notes! Finish and there is no homework for home coming weekend!