The universal set U is the set of all odd numbers less than 20 and set A = {x : x is an odd multiple of 3 and x < 20}. Find complementary set A'.
1. A’ = {1, 5, 11, 13, 17, 19}
2. A’ = {1, 5, 7, 11, 13, 17, 19}
3. A’ = {1, 19}
4. A’ = {1, 2, 5, 7, 8, 11, 13, 16, 17, 19}
1. A’ = {1, 5, 11, 13, 17, 19}
2. A’ = {1, 5, 7, 11, 13, 17, 19}
3. A’ = {1, 19}
4. A’ = {1, 2, 5, 7, 8, 11, 13, 16, 17, 19}
Correct Answer – Option 2 : A’ = {1, 5, 7, 11, 13, 17, 19}
Concept:
If U is a universal set and A be any subset of U then the complement of A is the set of all members of the universal set U which are not the elements of A.
It is denoted by A’
A’ = U – A
Calculation:
U = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}
A = {3, 9, 15}
A’ = U – A = {1, 5, 7, 11, 13, 17, 19}