Answer
Choice H
Work Step by Step
Since for any $a\gt0$, $|x|=a$ implies $x=a$ or $x=-a$, then the given inequality, $
|x|\ne7
,$ is equivalent to
\begin{array}{l}\require{cancel}
x\ne7
\\\\\text{OR}\\\\
x\ne-7
.\end{array}
Hence, the graph is $\text{
Choice H
}.$
Note that the symbol $=$ may be replaced with $\ne$.