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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.)

 

 Mar 7, 2021
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The shaded area is everything LESS THAN the line....does not include the line (because it is a dashed line)

   so find the equation of the line

Find two whole number coordinate points       0,7     6, - 5

   slope =  (7- -5) / (0-6) = -2

 

point slope of the line becomes    (y - -5) = -2(x-6)    rearrange

                                                            y = -2x +7       now remember we want everything LESS than the line

                                                                                     y < -2x+7     re-arrange into the form requested in the Q

                                                                                      -2x - y + 7 > 0

 Mar 7, 2021

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