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.)

Guest Mar 7, 2021

#1**0 **

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

ElectricPavlov Mar 7, 2021