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Chapter 4: Q 294 (page 472)

In the following exercises, solve each system by graphing2x-5y<103x+4y鈮�12

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-5y<103x+4y鈮�12

02

Checking the point

The equation, 2x-5y=10has the intercept -2,5Testing the point (0,0), we get

2(0)-5(0)<100-0<100<10which is true

So origin is included

03

Checking for another equation

The equation, 3x+4y=12has the intercept 3,4. Testing the point (0,0), we get

3(0)+4(0)鈮�120+0鈮�120鈮�12which is not true

So origin is not included

04

Graph the equation

The graph is

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