Answer: x > -8
Multiply both sides by 2 so that you go from
x/2 > -4
to
x > -8
The inequality sign will not flip since we are not multiplying both sides by a negative number.
If you are curious how to graph the solution, draw out a number line and plot an open unfilled circle at -8. Then shade to the right of the open circle. The open circle says "do not include this value as part of the solution set". The solution set is shaded representing all of the values larger than -8 (which make the original inequality true).