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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 :

Recall that:

[tex]|a|=\begin{cases}\text{a if a}\ge0, \\ -\text{a if a<0.}\end{cases}[/tex]

Then:

[tex]\begin{gathered} |3|=3, \\ |-8|=-(-8)=8. \end{gathered}[/tex]

Therefore:

[tex]|-8|>|3|\text{.}[/tex]

Answer: Option C.

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