Math 095 - Intermediate Algebra - Prairie State College

19. Solve the following compound inequality. Write your solution in interval notation.
(a) (−∞, −1) ∪ [14, ∞)
(b) (−1, 14]
(c) (−2, 4]
(d) (−∞, −2) ∪ [4, ∞)
2x + 1 < −3 or x + 5 ≥ 9
20. Tess has $30 and she wants to go to the fair. It costs $10 for admission and $1.50
per ride. How many rides can she afford
(a) 11 rides
(b) 20 rides
(c) 13 rides
(d) 14 rides
Objective 8: Solve linear absolute-value equations.
21. Solve for p: |2p − 4| = 6
(a) p = 1
(b) p = 5 or p = −1
(c) p = −5 or p = 1
(d) p = 5 or p = 1
22. Solve for z:
3z + 5
∣ 6 ∣ − 3 = 6
(a) z = − 40
3 or z = −41 3
(b) z = − 39
3 or z = 39 3
(c) z = 4 or z = 5
(d) z = − 59
3 or z = 49 3
6