Question

The graph shows the solution to which systems of inequalities

Answer 1

y ≤ x-2

y > -x + 5

y ≤ 3

y ≥ 0

Explanation:

all answers have y ≥ 0 and y ≤ 3

next, we want to figure out if y < -x + 5 or y > -x + 5

plotting the line with a few points (e.g. (0,5), (5,0)), we can tell the red dotted line is y = -x + 5. the shaded area is above it, so we can say that y > -x + 5

similarly, we can tell the blue line is y = x-2. the shaded values are below it, so we can say that y ≤ x-2