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Find a linear inequality with the following solution set. Each grid line represents one unit. (Give your answer in the form ax+by+c>0 or ax+by+c>=0 where a, b, and c are integers with no common factor other than 1.)

 

https://latex.artofproblemsolving.com/8/d/9/8d9bd0400837caad6ee0e3c73ac50b6260d13361.png

 

Image inserted by Melody

 Mar 10, 2020
edited by Melody  Mar 11, 2020
 #1
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Equation of line: y = 3x - 4

Test origin: (0,0), LHS = 0, RHS = -4, so LHS > RHS

The origin is not in the region ==> Correct inequality y <= 3x - 4

Final answer: 3x - y - 4 >= 0

 Mar 10, 2020
 #2
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Sorry, but that is not right...

Guest Mar 10, 2020
 #3
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y<2x-4

 

You can rearrange it.

 Mar 11, 2020

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