Question

Which graph represents the solution set of the system of inequalities?

{3y≥x−9
3x+y>−3

Answer 1

The image shows the solution for the given inequalities.

Explanation:

We are given the following information in the question:

`3y \geq x-9\\3x+y>-3`

We have to plot the solution for the given inequality.

The image attached shows the solution to the given inequalities.

The red shaded portion is the solution to the first inequality and the blue shaded region is the solution for the second inequality.

The common shaded portion is the solution common to both the inequalities.

The dotted blue line is not a part of the solution for both the inequality.

Answer 2

the solid line passes through (0,-3) and (0,9)

dotted line passes through (0,-3) and (0,-1)

see attached sketch