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Chapter 4: Q. 296 (page 472)

In the following exercises, solve each system by graphing,2x+2y>-4-x+3y鈮�9

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+2y>-4-x+3y鈮�9

02

Checking the point for the system of equation

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

2(0)+2(0)>-40+0>-40>-4which is true

So origin is included

03

Checking for another equation

The equation, -x+3y=9has the intercept 3,-9. Testing the point (0,0), we get

-0+3(0)鈮�90+0鈮�90鈮�9which is not true

So origin is not included

04

Graphing the equation

The graph is

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