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Chapter 4: Q 291 (page 472)

The darkest region represent the solution to the system of equations x+2y<4y<x-2

Short Answer

Expert verified

The darkest region represent the solution to the system of equations

Step by step solution

01

Given information

Given the system of equationsx+2y<4y<x-2

02

Checking the point for the system of equations

The equation x+2y=4has intercept 2,4.Testing the point (0,0), we get

0+0<40<4which is true

So origin is included

03

Checking for another equation

The equation y=x-2has intercept -2,2. Testing the point (0,0), we get

0<0-20<-2which is not true

So origin is not included

04

Graph of system of equation

The graph is

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