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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"  or  where   and  are integers with no common factor other than 1.)

 Aug 28, 2019
 #1
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We have the points on the graph  (1,0)  and (-1.2)

The slope  of  this line  =   [2 - 0] / [ -1 -1]  =  2/-2  =-1

 

So   the equation of the line is

 

y  = -(x -1)

 

y  = -x + 1

 

x + y   = 1

 

So  we either have

 

x + y    ≤  1     (1)         or       x  +  y   ≥  1   (2)

 

Note that  (0,0)  is in the shaded area....this satisfies  (1)

 

So....the inequality is

 

x + y    ≤  1

 

 

cool cool cool

 Aug 28, 2019

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