Question

State the following statement is true or false:

The set of even natural numbers less than 21 and the set of odd natural numbers less than 21 are equivalent sets.

Options

• True

• False

Answer 1

True.

Explanation:

Set of even natural number less than 21

= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}

∴ Cardinal Number of this set = 10

Set of odd natural numbers less than 21

= {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}

∴ Cardinal number of this set = 10

Now we see that cardinal number of both these sets = 10

∴ "The set of even natural numbers less than 21 and the set of odd natural numbers less than 21 are equivalent sets". Hence it is a True statement.