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 \(ax+by+c≥0\)where a, b and c are integers with no common factor greater than 1.)
We can test some points, such as (0,-3/4) and (-1,-1/3). The line passing through these points is y = -x/4 - 3/4.
Then 4y = -x - 3, or x + 4y + 3 = 0. Then testing other points, the inequality is given by x + 4y + 3 <= 0. In given form the answer is
-x - 4y - 3 >= 0.