1. ## Inequalities

Find the number of points (x, y), where x and y are non-negative integers, such that
$2x-4\le y \le -3x+40-3y$

Anyone can help?

2. Sorry! Wrong

3. I subs. (0,10) and the inequality is still right....

Strangely, I got infinite numbers of solution...

EDIT : Ups, not infinite. My rough sketch of the graphs was wrong ^^

4. ya..songoku is right, (0, 10) is a possible solution.

I can solve it graphically, i draw the lines y=2x-4 and 4y=-30x+40

and find the region satisfying the inequalities. I got 39 points. any other ways to do this?