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Chapter 4: Q 290 (page 472)

In the following exercises, solve each system by graphing.

x-y>1y<-14x+3

x-y>1y<-14x+3

Short Answer

Expert verified

The darkest region represent the solution to the system of equations and the graph is

Step by step solution

01

Given information 

Given the system of equations x-y>1y<-14x+3

02

Checking the point for the system of equations

The equation x-y=1has intercept -1,1. Testing the point (0,0), we get

0-0>10>1

So origin is not included

03

Checking for the another system of equation

The equationy=-14x+3has intercept 3,12. Testing the point (0,0), we get

0<0+30<3which is true

So origin is included

04

Graphing the equation

The graph of the equations is

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