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Find a linear inequality with the following solution set. Each grid line represents one unit.



Give your answer in "standard form".

 Nov 12, 2019
 #1
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Notice that  the points  (2, -5)  and (4, -3)   are on the dashed line

 

The slope through these points is  [ -3 - -5 ] / [ 4 - 2 ]  = [ 2] /[2] = 1

 

Using  the point   (2, -5)  we  have the following possible inequaliites :

 

y < 1 ( x - 2) - 5     or      y >  1 ( x - 2) - 5

 

y <  x - 2  - 5                  y >  x - 2 - 5

 

y <  x  - 7                      y >  x - 7

 

Since the point (x, y)  =  (0,0)  is in the shaded region

 

0 < 0 - 7       or      y > 0 - 7

 

0 < - 7                   y >  -7

 

The second iinequality is true......so....the equation is

 

y   > x  - 7 

 

- x + y > - 7    multiply through by -1  and reverse the inequality sign

 

x - y <  7

 

Here's a graph  : https://www.desmos.com/calculator/mjum6od8gq

 

 

cool cool cool

 Nov 12, 2019

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