Question

how do you determine where to shade an inequality

Answer 1

Test one point form a region in the original inequality. If it works, the entire region works and is shaded. If it doesn't work, then shade the other region.

Answer 2

Lets say you have (x-2)(x+4)>0 as an example

Your test points would be x=2 and x= -4

so draw a line from -5 to 3

Test the equation with -5, -4, 0, 2, 3

Shade in whenever the answer is MORE than zero