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Chapter 4: Q 316 (page 473)

In the following exercises, solve each system by graphing.

3y>x+2-2x+6y>8

Short Answer

Expert verified

The solution of the equation is dark shaded region.

Step by step solution

01

Given information.  

Given system of equation,

3y>x+2-2x+6y>8

02

Graph the system of equations. 

The system of equation 3y=x+2

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

0>2

which holds false.

03

Calculating for second equation.  

For -2x+6y=8,

the intercepts are x=-4,y=1.3testing the point (0,0),

we get

0>8,

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

04

Plotting the graph. 

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