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Chapter 4: Q 313 (page 473)

In the following exercises, solve each system by graphing.

y鈮�12x-1-2x+4y鈮�4

Short Answer

Expert verified

The solution is the dark shaded region.

Step by step solution

01

Given information.   

Given system of equation,

y鈮�12x-1-2x+4y鈮�4

02

Graph the system of equations   

The system of equation y=12x-1

has intercept x=2,y=-1. The boundary is solid. Origin does lies within as putting

0鈮�-1

which holds true.

03

Calculating for second equation    

For -2x+4y=4,

the intercepts are x=-2,y=1and (0,0)testing the point ,

we get

0鈮�4,

which is false hence, the origin is not contained in it.

04

Plotting the graph.  

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