#### Answer

$H$

#### Work Step by Step

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 $H$.