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Inequalities Involving Modulus Function

If |x-1|≤2 th...

Question

If $| x - 1 | \leq 2$
then, the value of x is more than equal to and less than equal to .

-2

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Solution

The correct option is F 3
$| x - 1 | \leq 2 \Rightarrow - 2 \leq x - 1 \leq 2 \Rightarrow - 2 + 1 \leq x - 1 + 1 \leq 2 + 1 \Rightarrow - 1 \leq x \leq 3$

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