Chapter 6.6, Problem 34PPS

To determine

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

Answer to Problem 34PPS

Shaded common region of both inequalities.

Explanation of Solution

Given information:

  $\begin{array}{l}2y\ge x\\ x-3y>-6\end{array}$

Graph of given inequalities is

Here Black colour represents the region of inequality $x-3y>-6$ .

Violet colour represents the region of inequality $2y\ge x$ .

Solution is the common region of Violet and Black colour.