Find a linear inequality with the following solution set. Each grid line represents one unit.
(Give your answer in the form $ax+by>c$ or $ax+by\geq c$ where $a,$ $b,$ and $c$ are integers with no common factor other than $1$.)
The line is not solid....so we will have either a < or > inequality
Two points crossed by the "line" are (-3,0) and (0, -5)
Slope = [ -5 -0 ] /[ 0 - -3] = -5 / 3
Using (0, -5) the equation of the inequality is either
y > (-5/3) ( x) - 5 or y < (-5/3)x - 5
(0,0) is not in the shaded area and it satisfies y > (-5/3)x - 5
So.....the other equation is correct
y < (-5/3)x -5 (multiply through by 3)
3y < -5x - 15
5x + 3y < -15