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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 $ax+by+c\geq0$ where $a$,$b$ and $c$ are integers with no common factor other than 1.)

 Jun 3, 2021
edited by Guest  Jun 3, 2021
 #1
avatar+34280 
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Shaded area is everything less than and including the line .

Equation of a line    y = mx + b

Line slope    m = rise / run =  4/2 = 2           b = -4

     y = 2x -4    is the line equation

 

y <= 2x-4       re-arrange to requested form

-2x + y +4  <= 0    multiply by -1

2 - y -4 >= 0

 Jun 3, 2021
 #2
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It's wrong!

Guest Jun 3, 2021
 #3
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Dropped 'x ' from the last line ....if you READ and UNDERSTOOD the solution method ...YOU would have seen slight error rather than just looking for an answer !

 

2x - y -4 >= 0

Guest Jun 3, 2021

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