Question

Which system of linear inequalities has the point (3, –2) in its solution set?

Answer 1

`\boxed{\sf Option \ 3}`

Explanation:

`\sf The \ values \ must \ be \ true \ for \ both \ inequalities.`

`x = 3\\y = -2`

`y>-3\\-2>-3\\ \sf True`

`y\geq (2)/(3)x-4 \\ -2\geq (2)/(3)(3)-4\\2\geq 2-4\\-2\geq-2 \\ \sf True`

Answer 2

see below

Explanation:

We want where both inequalities are true

y > -3

-2 >-3 this is true

y ≥ 2/3x -4

-2≥ 2/3*3 -4

-2 ≥ 2 -4

-2≥ -2

This is true

This is is the graph