1. Lesson 4 MI/Vocab compound inequality intersection union Solve compound inequalities containing the word and and graph their solution sets. Solve compound inequalities containing the word or and graph their solution sets.

2. Lesson 4 Ex1 Graph an Intersection Graph the solution set of y ≥ 5 and y < 12. Graph y ≥ 5. Find the intersection. Graph y < 12.

3. Lesson 4 Ex1 Graph an Intersection Answer: The solution set is {y | 5 ≤ y < 12}. Note that the graph of y ≥ 5 includes the point 5. The graph of y < 12 does not include 12.

4. A.A B.B C.C D.D Lesson 4 CYP1 Graph the solution set of y > 6 and y ≤ 10. A.AnsA B.AnsB C.AnsC D.AnsD

5. Lesson 4 Ex2 Solve and Graph an Intersection Solve 7 < z + 2 ≤ 11. Graph the solution set. First express 7 < z + 2 ≤ 11 using and. Then solve each inequality. 7 < z + 2 and z + 2 ≤ 11 Write the inequalities. 7 – 2 < z + 2 – 2 z – 2 + 2 ≤ 11 – 2 Subtract 2 from each side. 5< z z ≤ 9 Simplify.

6. Lesson 4 Ex2 Solve and Graph an Intersection The solution set is {z | 5 < z ≤ 9}. Graph 5 5. Graph z ≤ 9. Find the intersection.

7. Lesson 4 Ex2 Solve and Graph an Intersection Answer:

8. Lesson 4 CYP2 1.A 2.B 3.C 4.D Solve –3 < x – 2 < 5. Then graph the solution set. A.{x | –1 < x < 7} B.{x | –5 < x < 3} C.{x | x < 7} D.{x | –1 < x < 3}

9. Lesson 4 Ex3 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 quest would pay per night at the resort. Write and Graph a Compound Inequality WordsCost per night is at most $89 or the cost is at least $109. VariableLet c be the cost of staying at the resort per night. Equationc ≤ 89 or c ≥ 109

10. Lesson 4 Ex3 Now graph the solution set. Graph c ≤ 89. Find the union. Write and Graph a Compound Inequality Graph c ≥ 109.

11. Lesson 4 Ex3 Answer: c ≤ 89 or c ≥ 109 Write and Graph a Compound Inequality

12. 1.A 2.B 3.C 4.D Lesson 4 CYP3 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

13. Lesson 4 Ex4 Solve 4k –7 ≤ 25 or 12 –9k ≥ 30. Graph the solution set. or Solve and Graph a Union Animation: Solve and Graph a Union

14. Lesson 4 Ex4 Graph k ≤ 8. Graph k ≤ –2. Answer: Notice that the graph of k ≤ 8 contains every point in the graph ofk ≤ –2. So, the union is the graph of k ≤ 8. The solution set is {k | k ≤ 8}. Solve and Graph a Union

15. A.A B.B C.C D.D Lesson 4 CYP4 Solve –2x + 5 20. Then graph the solution set. A.{x | x > 1} B.{x | x < –5} C.{x | x > –5} D.{x | x < 1}