Question

find all numbers whose absolute value is -5. if there is more than one, separate them with commas. if there are no such numbers, click on
one\.

Explanation:

Step1: Recall absolute value definition

The absolute value of a number \( x \), denoted \( |x| \), is defined as \( |x|=

$$\begin{cases}x, & x\geq0\\ -x, & x < 0\end{cases}$$

\). By this definition, the absolute value of any real number is always non - negative (i.e., \( |x|\geq0 \) for all real numbers \( x \)).

Step2: Analyze the given absolute value

We are asked to find numbers whose absolute value is \( - 5 \). But since the absolute value of a number is always greater than or equal to \( 0 \), and \( -5<0 \), there are no real numbers that satisfy the equation \( |x|=-5 \).

Answer:

None