We need to solve the following inequality:
[tex]x-4>-8[/tex]To do that we have to isolate the variable on the left side. The first step is to add "4" on both sides.
[tex]\begin{gathered} x-4+4>-8+4 \\ x>-4 \end{gathered}[/tex]The value of x must be greater than -4 for this inequality bo be valid.
To graph this result we need to draw a line at the point that x = -4, then we collor the side that is greater than that.
A better drawing can be seen below:
To graph it at the line we need to go to the point that solves the equation, in this case is -4 and if the signal is ">" we collor the right part of the line.