Question

Compare -8 and 3. Which statement is not true?A. |-8| > |3|B. -8 is farther from 0 on a number line.C. The absolute value of 3 is greater than the absolute value of -8.D. 3 is farther to the right on a number line.

Answer 1

Recall that:

`|a|=\begin{cases}\text{a if a}\ge0, \\ -\text{a if a<0.}\end{cases}`

Then:

`\begin{gathered} |3|=3, \\ |-8|=-(-8)=8. \end{gathered}`

Therefore:

`|-8|>|3|\text{.}`

Answer: Option C.