# What does the | in |Z| mean in mathematical expressions for distribution statistics

I am doing some self study on statistics and noticed that in the notes that I was using the $|Z|$ expression as attached in the photos below. I am confused with the "$|$" that is being used. The only logical conclusion that I was able to draw was that $P(|Z|\le 2)$ represents $P(-2 < Z < 2)$.

I would appreciate some advice on what the "$|$" symbol means.

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Thanks for the link Glen. – user1275515 Apr 19 '14 at 4:51

$$P( |Z| \leq 2) = P( Z \leq 2\text{ and}-Z \leq 2) = P(Z \leq 2\text{ and }Z \geq -2) = P(-2 \leq Z \leq 2) = P(Z \geq -2) - P(Z \geq 2) = 1 - H(2) - H(2)$$