# Homework Help: Set Notation , Set Theory

1. May 14, 2013

### reenmachine

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

Build a notation for the set: $\{ ... , -8 , -3 , 2 , 7 , 12 , 17 ,...\}$

2. Relevant equations

$2+5(0) = 2$
$2+5(1) = 7$
$2+5(-1) = -3$

etc...

3. The attempt at a solution

$\{ \ 2+5y \ | \ y \in \mathbb{Z} \ \}$

Take note that you could replace $2$ by any elements of the set and it would still work.

any thoughts appreciated!

thank you!

2. May 14, 2013

### Staff: Mentor

Looks fine... Do you have a question?

3. May 14, 2013

### reenmachine

No , just wanted to be sure it was correct.I'm slowly getting better at those.

Is that forbidden in this section? If so , I was unaware of it.

thank you!

4. May 14, 2013

### Staff: Mentor

No, it's OK to get confirmation that you're on the right track.