Question Number 40715 by gopikrishnan005@gmail.com last updated on 26/Jul/18
$$\mathrm{for}\:\mathrm{x}\geqslant\mathrm{2}\:\mid\mathrm{x}−\mathrm{2}\mid= \\ $$
Commented by maxmathsup by imad last updated on 26/Jul/18
$${x}\geqslant\mathrm{2}\Rightarrow{x}−\mathrm{2}\geqslant\mathrm{0}\:\Rightarrow\mid{x}−\mathrm{2}\mid\:={x}−\mathrm{2}\:. \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 26/Jul/18
$${f}\left({x}\right)=\mid{x}−\mathrm{2}\mid \\ $$$$\:\:\:\:\:\:\:\:\:\:\:=\left({x}−\mathrm{2}\right)\:\:{when}\:{x}>\mathrm{0} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:=−\left({x}−\mathrm{2}\right)\:\:{when}\:{x}<\mathrm{0} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{0}\:\:\:\:\:\:\:\:{when}\:\:{x}=\mathrm{0} \\ $$