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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Inequalities in One Variable
Absolute Value Equations and Inequalities

Warm-Ups



1

The equation | x | = 2 is equivalent to x = 2 or x = -2.
A)TRUE
B)FALSE
2

All absolute value equations have two solutions.
A)TRUE
B)FALSE
3

The equation | 2x - 3 | = 7 is equivalent to 2x - 3 = 7 or 2x + 3 = 7.
A)TRUE
B)FALSE
4

The inequality | x | > 5 is equivalent to x > 5 or x < -5.
A)TRUE
B)FALSE
5

The equation | x | = -5 is equivalent to x = 5 or x = -5.
A)TRUE
B)FALSE
6

There is only one solution to the equation | 3 - x | = 0.
A)TRUE
B)FALSE
7

We should write the inequality x > 3 or x < -3 as 3 < x < -3.
A)TRUE
B)FALSE
8

The inequality | x | < 7 is equivalent to -7 ≤ x ≤ 7.
A)TRUE
B)FALSE
9

The equation | x | + 2 = 5 is equivalent to | x | = 3.
A)TRUE
B)FALSE
10

The inequality | x | < -2 is equivalent to x < 2 and x > -2.
A)TRUE
B)FALSE