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

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Answer 1 · 2018-02-16T03:48:44

See below.

#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]}