## Cutiepo0 2 years ago abs(x-1) < 2(x-1) , solve inequality please!!

1. Cutiepo0

$\left| x-1 \right| \le 2(x-1)$

2. satellite73

if $$x>1$$ then $$|x-1|=x-1$$ solve $x-1\leq 2x-2$

3. satellite73

you get $1\leq x$ you know know it is true if $$x\geq 1$$

4. satellite73

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