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Chapter 4: Q 317 (page 473)

In the following exercises, solve each system by graphing.

y<34x-2-3x+4y<7

Short Answer

Expert verified

The solution of the equation is dark shaded region.

Step by step solution

01

Given information.   

Given system of equation,

y<34x-2-3x+4y<7

02

Graph the system of equations.  

The system of equation y=34x-2

has interceptx=2.6,y=-2 . The boundary is solid. Origin does not lie within as putting

0<-2

which holds false.

03

Calculating for second equation.  

For -3x+4y=7,

the intercepts are x=-2.1,y=1.7testing the point (0,0),

we get

0<7,

which is true hence, the origin is contained in it.

04

Plotting the graph.  

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