Question

the distance between -1 and 7 equals |-1 - 7|. determine the distance between -1 and 7? a -8 b -6 c 6 d 7 e 8

Explanation:

Step1: Calculate the expression inside the absolute value

First, we calculate \(-1 - 7\). So, \(-1 - 7=-8\).

Step2: Find the absolute value of the result

Next, we find the absolute value of \(-8\). The absolute value of a number \(x\) is denoted as \(|x|\) and is defined as \(|x|=

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

\). For \(x = - 8\), we have \(|-8|=-(-8) = 8\).

Answer:

E. 8