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Given that N = {1, 2, 3, ..., 100}, then write the subset B of N, whose element are represented by x + 2, where x ∈ N.

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Question

Given that N = {1, 2, 3, ..., 100}, then write the subset B of N, whose element are represented by x + 2, where x ∈ N.

Sum
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Solution

B = {y | y = x + 2, x ∈ N}

So, for 1 ∈ N, y = 1 + 2 = 3

2 ∈ N, y = 2 + 2 = 4,

And so on.

Therefore, B = {3, 4, 5, 6, ..., 100}

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Chapter 1: Sets - Solved Examples [Page 5]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 1 Sets
Solved Examples | Q 4.(ii) | Page 5

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