Answer
$x\leq-4\ \ $ or $\ \ x\geq 4$
Work Step by Step
There are two intervals here
On the left is an interval containing all numbers less or equal to $-4$
(note the solid circle indicating inclusion of the endpoint $-4$).
On the right, we have all numbers greater or equal to 4
(note the solid circle indicating inclusion of the endpoint 4 )
A number x from this set can belong to either of the above intervals, so the set shown in the graph can be written using inequalities as
$x\leq-4$ or $x\geq 4$.
