Name: ___________________________________________________ Period: ______

Chapter 5 Review Write an inequality represented by the graph. 1. Solve the inequality. Graph your solution. 2. x – 6 > – 3 3. –4t ≥ –16 Solve the inequality, if possible. 4. 3(2p – 5) ≥ 8p – 5 5. 8p + 7 – 6p > 2p + 9 6. 2(k + 4) > 2k – 3 Write a compound inequality that is represented by the graph. 7. _____________________ Solve the compound inequality. Graph your solution. 8. x + 2 > 5 or 3x ≤ 3 9. –6 ≤ 5x + 14 ≤ 24

Solve the equation or inequality, if possible. 10. | 3x – 1 | = 2 11. | x | = 3 12. 2 | x + 8 | + 6 = 0 13. | x – 2 | + 6 > 9 14. – 2 | 4 – x | ≤ – 4 15. | 2x – 8 | < 0

Solve the absolute value inequality. Graph your solution. 16. | x | + 2 > 10 Determine whether the ordered pair is a solution of the inequality. 17. x + y < 7; (2, 4) 18. y ≥ 4x – 3; (0, 0)

Graph the inequality. 19. y < 2x – 1 20. x + y ≥ 3

In Exercises 21 and 22, use the following information. A concert promoter needs to take in at least $380,000 from ticket sales. The promoter charges $30 for floor seats and $20 for bleacher seats. 21. Write and graph an inequality that describes the goal in terms of selling bleacher seat tickets and selling floor seat tickets. 22. Identify and interpret one of the solutions using the context of the situation. Translate the verbal sentence into an inequality. Then solve the inequality. 23. The difference of 11 and c is at least –23

There are infinite amount of answers here...I chose two as examples. Point (6000, 10000) is a possible solution. It means that if the promoter sells 6000 floor seats and 10000 bleacher seats that he/she will meet their minimum goal. However, if the promoter were to sell 8000 floor seats and 12000 bleacher seats then they would surpass their goal.