Question

Which graph represents the solution set of the system of inequalities? {y≤2x+1y>−2x−3

Answer 1

we have

`y\leq 2x+1` ------> inequality A

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

see the attached figure N
`1`

`y>-2x-3` ------> inequality B

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

see the attached figure N
`2`

therefore

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

see the attached figure N
`3`

therefore

the answer in the attached figure N
`3`

Answer 2

The figure shown below graphs the inequalities
y ≤ 2x + 1
y > -2x - 3

The shaded area shows the solution region.