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Chapter 4: Q 295 (page 472)

In the following exercises, solve each system by graphing3x-2y鈮�6-4x-2y>8

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 equations3x-2y鈮�6-4x-2y>8

02

Checking the point

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

3(0)-2(0)鈮�60-0鈮�60鈮�6which is true

So origin is included

03

Checking for another equation

The equation, -4x-2y=8has the intercept localid="1659017030170" -4,-2. Testing the point (0,0), we get

-4(0)-2(0)<80-0<80<8which is true

So origin is included

04

Graphing the equation

The graph is

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