If | x - 2 | 1 , then

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Solution

Q.
If $| x - 2 |$ $\leq 1$ , then

1 $x \in (1, 3)$

2 $x \in (- 1, 3)$

3 $x \in [1, 3]$

4 $x \in [- 1, 3)$

Ans.
(3)

Here, $| x - 2 |$ $\leq 1$

$\Rightarrow$ $- 1 \leq x - 2 \leq 1 \Rightarrow 1 \leq x \leq 3 \Rightarrow x \in [1, 3]$

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