How do you graph the inequality #x-2y-4<0#?

1 Answer
A. S. Adikesavan
Mar 18, 2016

Draw the straight line joining (0, #-2#) and (4, 9). Shade the region above this line in the positive y-direction and enter the inequality therein.

Explanation:

Here, y > #x/2-2#.
Graph the line y = #x/2-1#.
If the point (x, y) is above this line, y > #x/2-1#.
If the point (x, y) is on this line, y = #x/2-1#.
If the point (x, y) is below this line, y < #x/2-1#.

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