Question

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

Answer 1

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`.