Question

Which graph represents the solution set of the system of inequalities? PLEASE HURRY!

{y<23xy≥−x+2

Answer 1

The correct answer C.

Step-by-step explanation

`y<23x` is the inequality with the broken line.

Testing the point
`(1,0)` gives

`0<23(1)` or
`0<23`

This statement is true so we shade the lower half-plane.

`y\ge -x+2` is the solid line.

We test the origin
`(0,0)`.

This gives us,

`0\ge 0+2`

`0\ge 2`

This statement is false so we shade the upper half-plane.

The intersection of the two regions is the region graphed in C.