Solve and Graph an Intersection Solve 7 z

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 The solution set is {z | 5 < z ≤ 9}. Write the inequalities.

Solve and Graph an Intersection Graph 5 < z or z > 5. Graph z ≤ 9. Find the intersection. Answer:

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} A. B. C. D. A B C D

Write and Graph a Compound Inequality 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.

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

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 A. B. C. D. A B C D

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

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

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

• Graph x > -2 or x < 1