+144 Find a linear inequality with the following solution set. Each grid line represents one unit.
(Give your answer in "standard form" \(ax+by+c>0\) or \(ax+by+c\geq0\) where a, b, and c are integers with no common factor greater than 1.)
+128399 We have the points (0,1) and (1, 0) on the graph boundary
The slope of the line is given by [ 0-1 ] / [ 1 -0 ] = -1 / 1 = -1
Writing an eauation of this line, we have
y = -x + 1
But we either have the inequality
y ≥ -x + 1 or y ≤ -x + 1
Testing a point in the yellow region ...I'll choose (x, y) = (0,0) in both equations
shows that the second equation is correct
Rearranging this we have
x + y - 1 ≤ 0
