Find a linear inequality with the following solution set. Each grid line represents one unit.
(Give your answer in "standard form" or where and are integers with no common factor other than 1.)
We have the points on the graph (1,0) and (-1.2)
The slope of this line = [2 - 0] / [ -1 -1] = 2/-2 =-1
So the equation of the line is
y = -(x -1)
y = -x + 1
x + y = 1
So we either have
x + y ≤ 1 (1) or x + y ≥ 1 (2)
Note that (0,0) is in the shaded area....this satisfies (1)
So....the inequality is
x + y ≤ 1