Find the solution set of the inequation |x−1|<2.
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Text Solution
The correct Answer is:(−1,3)
Using |x|<a⇔−a<x<a, we get
|x−1|<2⇔−2<x−1<2⇒−1<x<3⇒x∈(−1,3).
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Updated on:21/07/2023
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