Question

Which graph represents the solution set of the system of inequalities?

{y>−2x−2y≤x+4

Answer 1

Bottom Right

Explanation:

I took the test

Answer 2

The solution in the attached figure

Explanation:

we have

`y >-2x-2` ----> inequality A

The solution of the inequality A is the shaded area above the dotted line
`y=-2x-2`

The slope of the dotted line is negative (m=-2)

The x-intercept of the dotted line is the point (1,0)

The y-intercept of the dotted line is the point (0,-2)

`y\leq x+4` ----> inequality B

The solution of the inequality B is the shaded area below the solid line
`y=x+4`

The slope of the solid line is positive (m=1)

The x-intercept of the solid line is the point (-4,0)

The y-intercept of the solid line is the point (0,4)

The solution of the system of inequalities is the shaded area between the solid line and the dotted line

using a graphing tool

see the attached figure