From the given graph, we see that the solution is painted yellow and contains the origin (0,0).
The upper (solid) line has the y-intercept=+3, and a slope of 1 =>
y=x+3......................(1)
Since the solution is BELOW the line, so the inequality is
y<=x+3 (<= because line is solid, y<= .... means solution is below)
The lower (dotted) line has a y-intercept of -4, and a slope of 3, so the line is
y=3x-4......................(2)
Since the solution is ABOVE the DOTTED line, it is a strict inequality with a > sign, or
y>3x-4
In summary, the solution set is given by
y<=x+3
y>3x-4
There is one answer option that satisfies both inequalities.
