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.

Question

Graph of two intersecting lines. One line g of x is solid and goes through the points negative 3, 0, negative 4, negative 1 and is shaded in below the line. The other line f of x is solid, and goes through the points 1, 1, 2, negative 1 and is shaded in below the line.

The graph represents which system of inequalities?

y ≤ −2x + 3
y ≤ x + 3
y ≥ −2x + 3
y ≥ x + 3
y ≤ −3x + 2
y ≤ −x + 2
y > −2x + 3
y > x + 3

Answer 1

The graph represents the system of inequalities:

y ≤ −2x + 3 (graph of g(x))

and

y ≥ x + 3 (graph of f(x))

Therefore, the answer is:

y ≤ −2x + 3 and y ≥ x + 3.