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.)

HelpPLZ Oct 18, 2018

#1**+1 **

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

CPhill Oct 18, 2018