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JEE MATHEMATICS MCQ: SET THEORY

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Let ZZ denote the set of integers, then
{x∈Z:∣x−3∣<4}n{x∈Z:∣x−4∣<5}=\left\{ {x \in Z:\left| {x - 3} \right| < 4} \right\}n\left\{ {x \in Z:\left| {x - 4} \right| < 5} \right\} =
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Correct option: C
{0,1,2,3,4,5,6}\left\{ {0,1,2,3,4,5,6} \right\}
Option C ({0,1,2,3,4,5,6}\{ {0,1,2,3,4,5,6} \}) is correct because it represents the intersection of two sets of integers defined by absolute value inequalities.

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