Chapter A.9, Problem 4AYU

To determine

True or False: $\left|x\right|\ge 0$ for any real number $x$.

Answer to Problem 4AYU

True.

Explanation of Solution

The absolute value of a real number $a$, denoted by the symbol $\left|a\right|$ is defined by the rules $\left|a\right|= a if a \ge 0$ and $\left|a\right|= -a if a < 0$. Therefore the statement is true.