Which graph represents the solution set of the system of inequalities? (1st picture is question and 1st set of answers 2nd picture is 2nd set of answers.

The inequalities are
y ≤ 2x + 1
and
y > -2x -3

Conveniently, they are already in slope-intercept form. Looking at the inequalities, we know off the bat there will be one dotted line and one solid line, since one is a "greater than" inequality (dotted line) and the other is "greater than or equal to" (solid line). This automatically rules our option B and C. 

-The solid line will have a slope of 2 and a y-intercept of 1 
-The dotted line will have a slope of -2 and a y-intercept of -3. 

Both option A and D satisfy this, so which one has correct shading?
Option D has the shaded region below the solid line and above the dotted line, which agrees with our system of inequalities.

Answer is D

What’s the equation you are trying to solve to get x?