Question

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

{y>−2x−2y≤x+4

Answer 1

Answer:

The solution in the attached figure

Step-by-step 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

Answer 2

Answer:

Bottom Right

Step-by-step explanation:

I took the test