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Chapter 4: Q 310 (page 473)

In the following exercises, solve each system by graphing.

-2x+6y<06y>2x+4

Short Answer

Expert verified

The equations have no solution.

Step by step solution

01

Given information.  

Given system of equation,

-2x+6y<06y>2x+4

02

Graph the system of equations  

The system of equation -2x+6y=0

has intercept x=0,y=0. The boundary is solid. Origin does not lies within as putting

(0,0)0<0

which holds false.

03

Calculating for second equation   

For 6y>2x+4,

the intercepts are x=-2,y=0.6and testing the point (0,0),

we get

0>4,

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

04

Plotting the graph. 

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