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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?
A.) y<=-3x-1
y<=-x-4

B.) y>-3x+1
y<=-x-4

C.) y<3x-1
y<=-x+4

D.) y<=3x-1
y>=-x+4

In the graph the area below fx is shaded and labeled A the area below gx is shaded and labeled B and the area where fx and gx have shading in common is labeled class=

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Answer:

B

Step-by-step explanation:

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The graph represents which system of inequalities will be y ≤ 3x - 1 and y < x - 4. Then the correct option is D.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

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 equation of line will be y = 4 - x and y = 3x - 1.

But in the graph, area under the line y = 4 - x and line is considered. Then by the inequality, the equation will be

y ≤ 3x - 1

And the area under the line y = 4 - x is considered, but the line is not. Then by the inequality, the equation will be

y < x - 4

Thus, the graph represents which system of inequalities will be y ≤ 3x - 1 and y < x - 4.

Then the correct option is D.

The graph is given below.

More about the inequality link is given below.

https://brainly.com/question/19491153

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