Question

Select the system of linear inequalities whose solution is graphed.

y ≤ 3x – 2, x + 2y ≤ 4





y ≥ 3x – 2, x + 2y ≤ 4





y > 3x – 2, x + 2y < 4





y < 3x – 2, x + 2y ≤ 4

Answer 1

A) -3x + y > -2 and 2y > x + 2

I think

Explanation:

Answer 2

see the attachment

Explanation:

Both lines are solid, so the inequality symbol must include "or equal to."

The shaded area is above the line with slope +3 y-intercept -2, so that inequality must be ...

y ≥ 3x -2

The shaded area is below the line with slope -1/2 and y-intercept +2, so that inequality must be ...

y ≤ -1/2x +2 . . . values of y that are solutions are ≤ those on the line

2y ≤ -x +4 . . . . multiply by 2

x +2y ≤ 4 . . . . add x