# Interpretation of Question

1. Sep 28, 2009

### JG89

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

Prove the points of the open interval (a,b) are those of the form a + t(b-a) for 0 < t < 1.

2. Relevant equations

3. The attempt at a solution

I'm interpreting this as asking me to prove that if x is in (a,b), then x can be written as
a + t(b-a) for some 0 < t < 1. Conversely, it's asking me to prove that if x = a + t(b-a) with 0 < t < 1, then x is in (a,b).

Is this interpretation correct?

2. Sep 28, 2009

### JG89

Please answer quick. This is a homework question due in a couple hours. I've already finished the question and my problem set, but I want to make sure that I proved the correct thing!

3. Sep 28, 2009

### HallsofIvy

Yes, your interpretation is correct.

Sorry I couldn't get this to you sooner but I was busy with something I am actually paid to do.

4. Sep 28, 2009

### JG89

I'll pay you double! Just kidding, thanks for the response. It came in time :)