Question

If the sample space, S = {1, 2, 3, 4, …, 15} and A = the set of odd numbers from the given sample space, find Ac.A.{1, 2, 3, 4, 5, 6, …, 15}B.{1, 3, 5, 7, 9, 11, 13, 15}C.{1, 2, 3, 4, 15}D.{2, 4, 6, 8, 10, 12, 14}

Answer 1

A^c is the complement of set A.

Given that A is a subset of S, then A^c contains the elements present in set S but not in set A.

The sets are:

S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

A = {1, 3, 5, 7, 9, 11, 13, 15} (odd numbers present in S)

Therefore, the elements present in set S but not in set A are:

`A^c=\mleft\lbrace2,4,6,8,10,12,14\mright\rbrace`