Question

State if True or False. A set which contains only one element is called a singleton set.

• A. True
• B. False

Answer 1

The correct option is A True

True.

For example:

• A = {x : x is neither prime nor composite}

It is a singleton set containing one element, i.e., 1.

• B = {x : x is a whole number, x < 1}

This set contains only one element 0 and is a singleton set.

• Let A = {x : x ∈ N and x² = 4}

Here A is a singleton set because there is only one element 2 whose square is 4.

• Let B = {x : x is a even prime number}

Here B is a singleton set because there is only one prime number which is even, i.e., 2.