Question

On a piece of paper, graph this system of inequalities. Then determine which region contains the solution to the system

Answer 1

the answer will be D,
using test poin (0,0), LET ME KNOW HOW IT GOES

Answer 2

The region that contains the solution to the system is:

Region D

Explanation:

• We are given first inequality as:

`y\leq (-1)/(3)x+3`

The graph of this will be a solid line passing through (9,0) and (0,3) with shading towards the origin.

Hence, it covers Region C and Region D.

• Similarly the second inequality is given by:

`y\geq 3x+2`

The graph of this will be a solid line passing through (-2/3,0) and (0,2) with away from the origin.

Hence, it covers Region A and Region D.

Hence, the intersection region that is covered by both the inequalities is:

Region D