Absolute Value/Examples

Examples of Absolute Values

Absolute Value of $3$ and $-3$

$\size 3 = 3 = \size {-3}$

Absolute Value of $-2$

$\size {-2} = 2$

Absolute Value of $-6$

$\size {-6} = 6 = \size 6$

Absolute Value of $\dfrac 3 4$

$\size {\dfrac 3 4} = \dfrac 3 4$

Absolute Value of $3 - 5$

$\size {3 - 5} = \size {5 - 3} = 2$

Absolute Value of $x - a$

Let $x, a \in \R$.

Then:

$\size {x - a} = \begin {cases} x - a & : x \ge a \\ a - x & : x < a \end {cases}$

Absolute Value $\size x \le 2$

$\size x \le 2 \iff -2 \le x \le 2$

Absolute Value of $0$

$\size 0 = 0$