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In the following exercises, solve each system by graphing3x-y≥6y≥-12x

Short Answer

Expert verified

The darkest region represent the solution to the system of equation

Step by step solution

01

Given information 

Given the system of equations3x-y≥6y≥-12x

02

Checking the point for the system of equations

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

3(0)-0≥60-0≥60≥6which is not true

So origin is not included

03

Checking for another equation

The equation y=-12xhas intercept (0,0)Testing the point (0,0), we get

0≥-12(0)0≥0which is true

So origin is included

04

Graphing the equation

The graph of the equation is

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