Chapter 6.6, Problem 3P

Solve each system of inequalities by graphing.

$4x+3y\le 1$

$2x-y\le 2$

To determine

To solve: the given system of inequalities by graphing.

Explanation of Solution

Given information:

The given system of inequalities is

  

Calculation:

Consider the system of equations

  

Draw the solid line passing through the pointsand then shade the

below the region of the line.

  

Draw the solid line passing through the pointsand then shade the below

the region of the line.

Graph:

The graph of the given system is shown below

  

Hence, the overlapping region is the solution of the given inequalities.