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Chapter 4: Q. 4.114 (page 467)

Solve the system by graphing:

x+3y>8y<-13x-2

Short Answer

Expert verified

There is no solution to this system of inequalities as there is no common region between the inequalities in the below graph.

Step by step solution

01

Step 1. Given information  

The given system of inequalities is:

x+3y>8y<-13x-2

02

Step 2. Graph the inequality  x + 3y > 8

We will graph the inequality by graphing x+3y=8and the boundary will be a dashed line because it contains greater than sign.

The graph is given as:

03

Step 3. Graph of the inequality y<-13x-2

We will graph the inequality by graphing y=-13x-2on the same cartesian plane and the boundary line will be a dashed line since it contains less than sign.

The graph is given as:

There is no solution to this system of inequalities as there is no common region between the inequalities in the above graph.

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