Set Worksheet
1. If U is the set of natural numbers. Find the complements of the following sets.
(i) {x : x is an odd natural number}
(ii) {x : x is an even natural number}
(iii) {x : x is a prime number}
(iv){x : x is a perfect square}
(v){x : x is a perfect cube}
(vi){x : x is a positive multiple of 2}
Answer: Given U = N = Set of natural numbers
(i){x : x is an odd natural number}’ = {x : x is an even natural number}
(ii){x : x is an even natural number}’ = (i){x : x is an odd natural number}
(i){x : x is a prime number}’ = {x : x is a positive composite number and x = 1}
(i){x : x is a perfect square}’ = {x : x N and x is not a perfect square}
{x : x is a perfect cube}’ = {x : x N and x is not a perfect cube}
{x : x is a positive multiple of 2}’ = {x : x N and x is not a multiple of 2}{x : x is an odd natural number}