# Chapter 1 - Section 1.6 - Equations and Inequalities Involving Absolute Value - 1.6 Assess Your Understanding: 7

Option (d)

#### Work Step by Step

RECALL: If $|x| \gt a$, then $x \lt -a$ or $x \gt a$. (This is named as Theorem 4 on page 132 of this textbook). Thus, the inequality that is equivalent to $|x| \gt 4$ is: $x \lt -4$ or $x \gt 4$ This pair of inequalities is in Option (d).

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