Question

Which number sentence is NOT true?OA) |-80| < 80OB) |17|= 17OC) |-80| > |17|OD) |-17| < |80|

Answer 1

Recall that definition

`|x|=\begin{cases}-x\text{ if x}\leq\text{0} \\ x\text{ if x>0}\end{cases}`

A)

`\text{Consider }|-80|,\text{ here -80 <0.}`

By using the definition

`|-80|=-(-80)=80`

`|-80|=80`

Option A is not true.

B)