How to Describe a Set Using Calculus?

[teme92]

Homework Statement

Describe the set {x:|x²-5|<4}

Homework Equations

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.

My current answer is:

|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?

 

[HallsofIvy]

If 1&lt; x^2&lt; 9 then either 1&lt; x&lt; 3 or 1&lt; -x&lt; 3 so the solution set is two intervals.

 

[teme92]

Ok thanks for the help HallsofIvy