How do you graph the inequality #-4y<4x-24#?

1 Answer
A. S. Adikesavan
Apr 3, 2016

Graph the straight line #y = 6-x#. Shade the region above ( in the positive direction of y-axis ) this line and excluding the line, and enter therein #-4y<4x-24#.

Explanation:

Divide by the negative factor #-4# of y and reverse the inequality sign, from < to >.
So, the inequality can be rearranged to the simple form #y>6-x#

.For any (x, y) location above this line (in the positive y-direction ), #y>6-x# and this is equivalent to #-4y<4x-24#. Mul

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