Question

7. Find all values of x, where
IxI=1/3

Answer 1

`x=-(1)/(3)\quad \mathrm{or}\quad \:x=(1)/(3)`

Explanation:

`\left|x\right|=(1)/(3)\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\x=-(1)/(3)\quad \mathrm{or}\quad \:x=(1)/(3)`