If |x − 1| ≤ 2, then –1 ______ x ______ 3 - Mathematics

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If |x − 1| ≤ 2, then –1 ______ x ______ 3

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Solution

If |x − 1| ≤ 2, then –1 x 3. 

Explanation:

|x − 1| ≤ 2 ⇒ –2 ≤ x – 1 ≤ 2 ⇒ –1 ≤ x ≤ 3.

Concept: Inequalities - Introduction
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APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 6 Linear Inequalities
Solved Examples | Q 15 (v) | Page 106
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