Question

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

Answer 1

Answer:

see below

Step-by-step 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

Answer 2

Answer:

$\boxed{\sf Option \ 3}$

Step-by-step explanation:

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

$x = 3\\y = -2$

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

$y\geq \frac{2}{3}x-4 \\ -2\geq \frac{2}{3}(3)-4\\2\geq 2-4\\-2\geq-2 \\ \sf True$