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 other than 1.)
+128475 The points (0,4) and (1,1) are on the line
The slope of the line = (1-4) / (1 -0) = -3/1 = -1
Using the point (0,4) and the slope the inequality is either
y ≤ -3x + 4 or y ≥ -3x + 4
Note that the point (2,2) is in the feasible region and it satisfies the second inequality
So
y ≥ -3x + 4
3x + y - 4 ≥ 0
