Question

Which inequality defines the shaded region graphed below?


image.png


y
≤
2
x


y
≤
x
−
2


y
≤
2
−
x


y
≤
x
+
2

Answer 1

y ≤ 2 − x

The boundary line passes through (0,2) and (2,0), so its equation is y = −x + 2. The shaded region is below that line, so y ≤ 2 − x.