Chapter 6.6, Problem 1CGP

To determine

To find: Points $\left(x,y\right)$ satisfying the given inequalities .

Answer to Problem 1CGP

CommonShaded region of both inequalities.

Explanation of Solution

Given information:

  $\begin{array}{l}y\ge -4\\ 3x+y\le 2\end{array}$

Graph of given inequalities is

  

Here Green colour represents the region of inequality $3x+y\le 2$ .

Blue colour represents the region of inequality $y\ge -4$ .

So the solution of the given inequalities is common region of Green and Blue colour.