+0  
 
+1
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avatar+183 

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

 

https://latex.artofproblemsolving.com/4/8/2/48234b947b623e95b3f920ee2e9ce6cb24dcfa4b.png

 

(Give your answer in the form  or  where   and  are integers with no common factor greater than 1.)

 Jul 13, 2020
 #1
avatar+26791 
+1

First, find the eqaution of the dashed line,,,,

   find 2 convenient points     :     -1  -1     and   1  0

    find slope     (-1-0)/(-1-1) = 1/2

       y = 1/2 x  + b    sustituting in one of the points will llow yo to calculate 'b'.... or you can take the value of y where x = 0

             b = -1/2              LIne equation   y = 1/2x - 1/2 

                   the yellow shaded area is everything ABOVE this line but NOT including the line (because it is dashed)

                               y > 1/2x - 1/2

 Jul 13, 2020

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