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.

(i) Given: N = {1, 2, 3 ,..., 100}

To find: subset of N whose elements are even numbers

A set A is a subset of a set B, if A is "contained" inside B, that is, all elements of A are also elements of B.

N = {1, 2, 3 ,..., 100}

Hence, subset of N whose elements are even numbers

= {2, 4, 6, 8,………,100}

(ii) Given: N = {1, 2, 3 ,..., 100}

To find: subset of N whose elements are perfect square numbers

A set A is a subset of a set B, if A is "contained" inside B, that is, all elements of A are also elements of B.

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}