What is the domain of f(x)?
{x| –4 < x ≤ 4}
{x| –3 < x ≤ 4}
{x| 1 < x ≤ 4}
{x| 2 < x ≤ 4}

The unfilled/open dot shows that we don't include that number
the filled/closed dot shows taht we include the number

so we see that it is open at -4 and closed at 4 so it is
-4<x and 4>x so
S={x|  -4<x<4}