Question

abs(x-1) < 2(x-1) , solve inequality please!!

Answer 1

\[\left| x-1 \right| \le 2(x-1)\]

Answer 2

if \(x>1\) then \(|x-1|=x-1\) solve
\[x-1\leq 2x-2\]

Answer 3

you get
\[1\leq x\] you know know it is true if \(x\geq 1\)

Answer 4

then if \(x<1\) you have \(|x-1|=1-x\) solve \\[1-x\geq 2(x-1)\]