Question

HELP!!!

In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where
f(x) and g(x) have shading in common is labeled AB. The graph represents which system of inequalities? view picture attached.

Answer 1

The first answer is correct.

Explanation:

f(x)

y
`\leq` -2x + 3 The line is crossing the y axis at 3. The slope is -2. If you select a point on the line and then go down 2 and right one, you will be back on the line. It is < because the colored portion is below the line.

g(x)

y
`\leq` x + 3. This line is also crossing the x axis at 3. The slope is 1. If you select a point on the line and then go up 1 and 1 to the right, you will be back on the line. It is < because the colored portion is below the line.