Question

Look at the graph below:

First line joins ordered pairs negative 4, 3 and 2, negative 3. Second line joins negative 4, negative 3 and 2, 3. Part A shaded above first and second line. Part B shaded below first line and above second line. Part C shaded below first and second lines. Part D shaded above first line and below second line.

Which part of the graph best represents the solution set to the system of inequalities y ≥ x + 1 and y + x ≥ −1?

A). Part A

B). Part B

C). Part C

D). Part D

Answer 1

Part B

Explanation:

Answer 2

we have

`y\geq x+1` ----> inequality A

The solution of the inequality A is the shaded area above the solid red line

`y+x\geq -1` ----> inequality B

The solution of the inequality B is the shaded area above the solid blue line

so

The solution of the compound system of inequalities is the shaded area above the solid red line and above the solid blue line

see the attached figure

therefore

the answer is the option A

shaded above first and second line