Question

If $|x-1|\le 1$, then

• A. $x\in [1,3]$
• B. $x\in (1,3)$
• C. $x\in [-1,3)$
• D. $x\in (-1,3)$

Answer 1

Answer: (A)

We have.
$|x-2|\le 1$
$\Rightarrow -1\le x-2\le 1$
$\Rightarrow -1+2\le x-2+2\le 1+2$
$\Rightarrow 1\le x\le 3$
$\therefore x\in [1,3]$
Note Correction in the question
$|x-2|\le 1$