Question

The graph below represents which system of inequalities?

graph of two intersecting lines. One line is solid, and goes through the points 0, negative 2 and 1, 0 and is shaded in below the line. The other line is dashed, and goes through the points 0, 3, 3, 0 and is shaded in above the line.

A) y > 2x − 3
y > −x − 3

B) y < 2x − 2
y < −x + 3

C) y ≤ 2x − 2
y > −x + 3

D) None of the above

Answer 1

we know that

One line goes through the points 0, negative 2 and 1, 0 and is shaded in below the line

The equation of the line is

`y=2x-2` ------> equation A

The line is solid and is shaded in below the line

therefore

the inequality A is

`y\leq 2x-2`

The other line goes through the points 0, 3, 3, 0

The equation of the line is

`y=-x+3` ------> equation B

The line is dashed and is shaded in above the line

therefore

the inequality B is

`y>-x+3`

The solution in the attached figure

therefore

the answer is the option C

`y\leq 2x-2`

`y>-x+3`

Answer 2

The graph represents y < 2 over 3x − 2 | y > 2x + 2 system of inequalities soooo the answer that's right is C.