The graph below represents which system of equalities ?

The solid line has a rise of 2 for each unit of horizontal run, so has a slope of 2. It crosses the y-axis at -2, so has equation y = 2x-2. The shading is below that line, so represents the solution to y ≤ 2x - 2.

The dashed line has a "rise" of -1 for each unit of horizontal run, so has a slope of -1. It crosses the y-axis at +3, so has equation y = -x + 3. The shading is above that line so represents the solution to y > -x+3.

These two inequalities are seen in the 3rd selection.

... y ≤ 2x - 2

... y > -x + 3

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^