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Chapter 4: Q. 297 (page 472)

In the following exercises, solve each system by graphing 2x+y>-6-x+2y鈮�-4

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 equations2x+y>-6-x+2y鈮�-4

02

Checking the point

The equation 2x+y=6has intercept 6,3. Testing the point (0,0), we get

2(0)+0>-60+0>-60>-6which is true

So origin is included

03

Checking for another equation

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

-0+2(0)鈮�-40+0鈮�-40鈮�-4which is true

So origin is included

04

Sketching the graph

The graph is

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