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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.)

 

 Jul 16, 2022
 #1
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The points  (0,4) and (1,1)  are on  the line

The slope of the line  = (1-4) / (1 -0) =  -3/1  = -1

 

Using the point  (0,4)  and the slope the  inequality is  either

 

y  ≤ -3x + 4   or     y ≥ -3x + 4

 

Note that the point (2,2)  is  in the  feasible region  and it satisfies  the second inequality

 

So

 

y ≥ -3x + 4

 

3x + y  - 4 ≥  0

 

 

cool cool cool

 Jul 16, 2022

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