Question

Which ordered pair is in the solution set of the system of linear inequalities? y > Three-halvesx – 1 y < Three-halvesx – 1 On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (0, negative 1) and (2, 2). Everything to the right of the line is shaded. The second line has a positive slope and goes through (0, negative 1) and (2, 2). Everything to the left of the line is shaded.

Answer 1

Answer: Its D in Edg

Explanation:

Answer 2

No solution.

Explanation:

The given inequalities are

`y>(3)/(2)x-1`

`y<(3)/(2)x-1`

The related equation for both inequalities is

`y=(3)/(2)x-1`

At x=0,

`y=(3)/(2)(0)-1=-1`

At x=2,

`y=(3)/(2)(2)-1=2`

In means both line passes through (0,-1) and (2,2). Everything to the right of first line is shaded and everything to the left of the line is shaded. It means the inequalities have no feasible region.

The signs of inequalities are ">" and "<". It means the points on the line are not included in the solution set.

Therefore, the given system of inequalities have no solution.