Question

In graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded ad 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?

A. y≤-2x+3
y≤x+3

B. y≥-2x+3
y≥x+3

C. y≤-3x+2
y≤-x+2

D. y>-2x+3
y>x+3​​

Answer 1

Answer: A

Step-by-step explanation:

The answer is A.

y≤-2x+3 .... (1)

y≤x+3 ..........(2)

In the system is inequality above, the f(x) is a negative graph while the g(x) is a positive graph.

The two function have different gradients ( slope) so, the will surely have the intersecting portion or area where f(x) and g(x) have shading in common which is labeled AB.