+1678 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 $1$.)
+129771 Solid line means that we have either ≤ or ≥ inequality
Two points on the line are (-3,0) and (0,6)
Slope = (6 - 0) / ( 0 - -3) = 6/3 = 2
Using ( 0,6) the equation of the inequality is either
y ≤ 2x + 6 or y ≥ 2x + 6
(0,0) is in the shaded region and satisfies the first equation
So
y ≤ 2x + 6
-2x + y ≤ 6
