# Absolute Value

Give the values \(a\) and \(-a\), each is the same distance \(a\) from zero. The distance from zero is the absolute value of the number.

In general: \(| a | = a\), if \(a ≥ 0\)

\(|a| = -a\) if \(a < 0\), note that -a represents a positive number

Try this:

- If \(|x | = 5\), what value(s) for \(x\) make the statement true?
- If \(|x-3 | = 5\), what value(s) for \(x\) make the statement true?
- If \(|2x-3 | = 5\), what value(s) for \(x\) make the statement true?
- If \(|x| = -5\), what value(s) for \(x\) make the statement true?