Question

find all numbers whose absolute value is - 4. 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 as \(|x|\), is the non - negative value of \(x\) without regard to its sign. Mathematically, \(|x|=

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

\). We want to find \(x\) such that \(|x|=-4\).

Step2: Analyze the non - negativity of absolute value

By the definition of the absolute value, the absolute value of any real number \(x\) is always non - negative, i.e., \(|x|\geq0\) for all real numbers \(x\). Since \(-4<0\), there are no real numbers \(x\) for which \(|x|=-4\).

Answer:

None