Given that N = {1, 2, 3,…, 100}.

Question:

Given that N = {1, 2, 3,…, 100}. Then write

(i) the subset of N whose elements are even numbers.
(ii) the subset of N whose element are perfect square numbers.

Solution:

We know that,

A set ‘A’ is a subset of a set ‘B’, if ‘A’ is “contained” inside ‘B’. Hence, all elements of ‘A’ are also elements of ‘B’.

(i) According to the question,

N = {1, 2, 3 ,…, 100}

Hence, subset of N whose elements are even numbers

= {2, 4, 6, 8,………,100}

(ii) According to the question,

N = {1, 2, 3 ,…, 100}

Hence, subset of N whose elements are perfect square numbers

= {1, 4, 9, 16, 25, 36, 49, 64, 81, 100}

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