# Homework Help: Proving an inequality

1. Jul 20, 2010

### John H

1. The problem statement, all variables and given/known data

Prove that if b is a positive number, such that a < b, then
a/b<(a+1)/(b+1)

2. The attempt at a solution

I have tried a few things, attempting to prove it using the real line, and a bunch of other methods but have had no success. I Would greatly appreciate it if u can at least get me started.

2. Jul 20, 2010

### Dick

Clear out the fractions, i.e. multiply both sides by the common denominator. You didn't try that?

3. Jul 20, 2010

### John H

I did before, but I made the most retarded mistake of thinking a(b+1)=b(a+1). Sorry about that. Thanx

4. Jul 20, 2010

### ehild

a<b. You can add any number to both sides of an inequality, it stays valid. Why not trying to add ab?

ehild