#### Answer

$A$

#### Work Step by Step

RECALL:
$|x| \ge a \longrightarrow x \ge a \text{ or } x \le -a$
Using the rule above gives:
$|x| \ge 7 \longrightarrow x \ge 7 \text{ or } x \le -7$
Thus, the solutions to the given inequality are the numbers that are either less than or equal to $-7$ or greater than or equal to $7$.
The graph that represents these numbers is the one in Option $A$.