Question

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

Answer 1

See below.

Explanation:

`4x-4y>=28`

Divide through by `4`:

`x-y>=7`

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

`:. 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]}