Question

If ε={1, 2, 3, 4,………….., 10} and A = Set of even numbers between 1 and 10. B = Set of odd numbers between 1 and 10 C = Set of prime numbers between 1 and 10 List down the elements of sets A, B and C.

Answer 1

A={2,4,6,8,10}

B={1,3,5,7,9}

C={2,3,5,7}

Explanation:

We consider basic definitions of the stated terms.

• Even Numbers are multiples of 2
• Odd numbers are numbers which are not multiples of 2
• A prime number is a number which has only 2 factors, 1 and itself.

The Universal Set, ε={1, 2, 3, 4,………….., 10}

A = Set of even numbers between 1 and 10

Therefore, the set of elements in A are:

A={2,4,6,8,10}

B = Set of odd numbers between 1 and 10

Therefore, the set of elements in B are:

B={1,3,5,7,9}

C = Set of prime numbers between 1 and 10

Therefore, the set of elements in C are:

C={2,3,5,7}