Which graph shows the solution to the system of linear inequalities? y > 2x + 1
y < 2x - 2

y = 2x+1 and y = 2x-2 have the same slope, but different y intercepts. This means the lines are parallel. So the boundary lines are parallel.

y > 2x+1 indicates we'll shade above the y = 2x+1 boundary line

y < 2x-2 tells us to shade below the y = 2x-2 boundary line

Both boundary lines are solid lines (and not dashed line) because of the "or equal to" portion

What results is similar to what you see in choice A. However, the red boundary line should go through (0,1) and not (0,2). The blue boundary line should go through (0,-2) and not (0,-1)

Basically take the graph of choice A and shift everything down 1 unit and you'll have your final answer.

step-by-step explanation:

a and d