How do you graph the inequality 4x-4y>=28?

Feb 16, 2018

See below.

Explanation:

$4 x - 4 y \ge 28$

Divide through by $4$:

$x - y \ge 7$

Consider the limiting case where $x - y = 7$

$\therefore y = x - 7$

This is a straight line with a slope of 1 and a $y -$intercept of $- 7$

Hence, the solution set for our inequality is all points greater of equal to this line.

For which the graphic representation is the shaded area below:

graph{x-y>=7 [-22.8, 22.82, -11.4, 11.4]}