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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 greater than 1.)

 

 Jul 12, 2021
 #1
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Find two integer points on the line   like   -5, -3       and   0,1   to compute the slope = m = 2

y = 2x + b    b is the y axis intercept = 1

so the line equation is y = 2x + 1

 

The shaded aea is everything ABOVE the line....but does not include the dashed line:

     y > 2x+1      now re-arrange into the requaested form

   -2x + y -1 > 0       Done !

 Jul 12, 2021

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