1. ## Integer Points

Find the number of points satisfying

y<=(a/b)x

where x,y,a,b are all integers and a<=b
plzz help

2. ## intermediate step

a/b<=1

3. Originally Posted by bangalibabu
Find the number of points satisfying

y<=(a/b)x

where x,y,a,b are all integers and a<=b
plzz help
I don't understand the question. Isn't there an infinite number of points

If we let $\displaystyle y\in\mathbb{N}$ be variable, fix $\displaystyle a=1,b=2$ then wouldnt $\displaystyle \left\{x=2y,x=4y,\cdots\right\}$ all satisfy this?

4. ohh I forgot.... x<=n where n is an integer

5. Originally Posted by bangalibabu
ohh I forgot.... x<=n where n is an integer
Yeah that would make more sense otherwise a/b would always yield 0 in integer division.