Sarthaks Test
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Given that N = {1, 2, 3, ..., 100}, then

(i) Write the subset A of N, whose element are odd numbers.

(ii) Write the subset B of N, whose element are represented by x + 2, where x ∈ N.

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(i) A = {x | x ∈ N and x is odd}= {1, 3, 5, 7, ..., 99}

(ii) 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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