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}