Question

Which statement is true? Question 3 options: A) – |13| = 13 B) |13| = – 13 C) – |–13| = 13 D) |–13| = 13

Answer 1

D) |–13| = 13

Explanation:

`- |13| = 13 : \mathrm{False}\\\\\mathrm{Simplify\:}-\left|13\right|:\quad -13\\-13=13\\`

Option B

`\left|13\right|=-13\quad :\quad \mathrm{False}\\\mathrm{Simplify\:}\left|13\right|:\quad 13\\13=-13`

Option C

`-\left|-13\right|=13\quad :\quad \mathrm{False}\\\mathrm{Simplify\:}-\left|-13\right|:\quad -13\\-13=13`

Option D

`\left|-13\right|=13 ; True\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\\left|-13\right|=13\\\\13=13`