Chapter 1 - Equations and Inequalities - 1.8 Absolute Value Equations and Inequalities - 1.8 Exercises - Page 167: 8

$H$

RECALL: $|x|=a \longrightarrow x=a \text{ or } x=-a$ Thus, $|x|=7 \longrightarrow x=7 \text{ or } x =-7$ Therefore, $|x| \ne 7$ means that $x \ne -7, x \ne 7$ The graph that represents this is the one with only $-7$ and $7$ excluded from the graph, which is the one in Graph $H$.