Question

PLEASE I NEED THIS TODAY!!!

Select the system of linear inequalities that represent this system.

A.) y≥−3x−3 y≤−1/2x+2

B.)y<−3x−3 y<−1/2x+2

C.)y≥−3x−3 y<−1/2x+2

D.)y≤−3x−3 y<−1/2x+2

Answer 1

Option D
`y\leq -3x-3` and
`y<-(1)/(2)x+2`

Explanation:

step 1

Find the equation of the inequality A

we know that

The solution of the inequality A (dashed line) is the shaded area below the dashed line

The equation of the dashed line is
`y=-(1)/(2)x+2`

therefore

The equation of the inequality A is
`y<-(1)/(2)x+2`

step 2

Find the equation of the inequality B

we know that

The solution of the inequality B (solid line) is the shaded area below the solid line

The equation of the solid line is
`y=-3x-3`

therefore

The equation of the inequality B is
`y\leq -3x-3`

The system of linear inequalities is

`y\leq -3x-3` and
`y<-(1)/(2)x+2`