Absolute Value Inequalities

Name:

Class:

Date:

Show your work for each problem.

1.
Which compound inequality represents ?
1. a)
2. b)
3. c)
4. d) or
2.
Which compound inequality represents ?
1. a)
2. b) or
3. c)
4. d)
3.
Solve . What is the lower bound of the solution? (Enter only the number)
4.
Solve . What is the upper bound of the solution?
5.
Solve
6.
Solve
7.
What is the solution to ?
1. a)
2. b)
3. c)
4. d) or
8.
Solve . What is the upper bound of the solution?
9.
What is the solution to ?
1. a) or
2. b)
3. c) or
4. d)
10.
Solve
11.
What is the solution to ?
1. a) or
2. b)
3. c)No solution
4. d)All real numbers
12.
What is the solution to ?
1. a)
2. b) or
3. c)No solution
4. d)All real numbers
13.
Solve
14.
A machine part must be 50 mm with tolerance 0.5 mm. The inequality is . What is the maximum acceptable diameter?
15.
Solve
16.
For the inequality , what is the boundary value that separates the two solution regions?
17.
Solve