find all numbers whose absolute value is -5. if there is more than one, separate them with commas. if there…

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 \none\.
Answer
Explanation:
Step1: Recall the property of absolute value
The absolute value of a number (x), denoted as (|x|), is always non - negative. That is, for any real number (x), (|x|\geq0). Mathematically, (|x|=\begin{cases}x, & x\geq0\-x, & x < 0\end{cases}). In both cases ((x\geq0) gives (|x| = x\geq0) and (x < 0) gives (|x|=-x>0)), the result is non - negative.
Step2: Analyze the given value
We are asked to find (x) such that (|x|=-5). But since (|x|\geq0) for all real (x), and (- 5<0).
Answer:
None