Question

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.

Graph of two intersecting lines. The line g of x is solid and goes through the points 0, 2, negative 2, 0 and is shaded in below the line. The other line f of x is dashed, and goes through the points 0, 6, 3, 0 and is shaded in below the line.

The graph represents which system of inequalities?

y < −2x + 6
y ≤ x + 2
y ≤ −2x + 6
y < x + 2
y < 2 over 3x − 2
y ≥ 2x + 2
None of the above

Answer 1

None of the above I think

Explanation:

Answer 2

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Answer:

• y < −2x + 6
• y ≤ x + 2

Explanation:

The line with the y-intercept of 2 is solid, so the corresponding inequality will be of the form ...

y ≤ mx +2

The line with the y-intercept of 6 is dashed, so the corresponding inequality will be of the form ...

y < mx +6

The answer choice showing inequalities with these forms is ...

• y < −2x + 6
• y ≤ x + 2