The graph below shows the solution set of which inequality?

For this case, we observe in the graph that the solution is given by:
[tex]x <-2\ or\ x> 2[/tex]
Inequality does not contain equality because the boundaries of the solution are open.
Thus, we can discard options A and B.
From option C we have:
[tex]x ^ 2> 4[/tex]
Applying root to both sides:
[tex]x> \pm \sqrt {4}[/tex]
Thus, the solutions are:
[tex]x> 2\\x <-2[/tex]
Answer:
Option C