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Chapter 4: Q. 286 (page 472)

In the following exercises, solve each system by graphing.

y鈮�3x+2y>x-1

Short Answer

Expert verified

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

Step by step solution

01

Given information

Given the system of equations y鈮�3x+2y>x-1

02

Graph the system of equations 

The system of equations y=3x+2has intercept The boundary is solid. Testing the point , (0,0)we get

0鈮�0+20鈮�2which is true

03

Calculating for second equation 

For y=x-1, the intercepts are -1,1and testing the point (0,0), we get

0>0-10>-1which is true

So both of them contains the origin

04

Plotting the graph 

The graph is

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