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Chapter 4: Q 312 (page 473)

In the following exercises, solve each system by graphing.

y鈮�-3x+23x+y>5

Short Answer

Expert verified

The solution of the equation is the dark shaded region.

Step by step solution

01

Given information.   

Given system of equation,

y鈮�-3x+23x+y>5

02

Graph the system of equations   

The system of equation y=-3x+2

has intercept x=0.6,y=2. The boundary is solid. Origin does not lies within as putting

(0,0)0鈮�2

which holds false.

03

Calculating for second equation 

For 3x+y=5,

the intercepts are x=1.6,y=5and testing the point ,

we get

0>5,

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

04

Plotting the graph. 

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