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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 or Ax + By > C where A, B,  and C are integers with no common factor other than 1.)

 Jul 4, 2022
 #1
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The points (1,1) and (0,4)  are on the graph

 

The slope is    ( 4 - 1)  /( 0 -1) =  3/-1  =   -3

 

We either have

 

y ≤  -3x + 4    

 

or

 

 y ≥ -3x  + 4

 

(0,0)  makes   the first true......but this point is  not in the feasible region

 

So

 

y  ≥ -3x + 4 is true  

 

So

 

3x + y  ≥  4

 

cool cool cool

 Jul 4, 2022

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