Question

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

Answer 1

Draw a dashed (to indicate it is not included in the solution) line for `x-2y=4`;
shade the side that does not include the origin (since `(x,y)=(0,0)` is not a valid solution for `x-2y > 4`)

Explanation:

Solving `x-2y=4` for some arbitrary values of `x`
(I chose `x=0` and `x=4`)

`x=0 rarr y=-2`
`x=4 rarr y=0`

Draw a line through the points `(0,-2)` and `(4,0)` (remember to make a "dashed line" because we do not want it included in the final solution.

Since `(x,y)=(0,0)` is not a valid solution for `x-2y > 4` shade the side of the line that does not include `(0,0)` to show the final solution area.

Your graph should look like:
graph{x-2y > 4 [-10, 10, -5, 5]}