# Homework Help: Calculus - Describing a Set

1. May 8, 2014

### teme92

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

Describe the set {x:|x2-5|<4}

2. Relevant equations

3. The attempt at a solution

I know this is simple stuff but I'm confused as to what way I'm supposed to answer this.

|x2-5|<4
-4<x2-5<4
-4+5<x2<4+5
1<x2<9
1<x<3

Is that all the question asks for? Do I need to say anything else?

2. May 8, 2014

### HallsofIvy

If $1< x^2< 9$ then either $1< x< 3$ or $1< -x< 3$ so the solution set is two intervals.

3. May 8, 2014

### teme92

Ok thanks for the help HallsofIvy