How do you graph the inequality #x-2y>6#?

1 Answer
A. S. Adikesavan
Apr 21, 2016

Draw the straight line #y=x/2-3# that passes through #(6, 0) and (0, -3)#. Shade the region below this line in the negative y-direction, sans this line, Enter #x-2 y > 6 therein. .

Explanation:

The given inequality is equivalent to #y < x/2-3#
For any point (x, y) below this line in the negative y-direction. #y < x/2-3#, and so, #x-2y>6#..

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