Question

Answer, whether the following statements are true or false. Give reasons
The set of even natural numbers less than 21 and the set of odd natural numbers less than 21 are equivalent sets.

Answer 1

Step: State true or false for the given statement
Given: The set of even natural numbers less than 21 and the set of odd natural numbers less than 21 are equivalent sets.
Set of even natural numbers less than 21 are {2,4,6,8,10,12,14,16,18,20}.

Set of odd natural numbers less than 21 are {1,3,5,7,9,11,13,15,17,19}.

We can see that the number of elements in both the sets are equal (i.e., 10).

Therefore, both the sets are equivalent.

Hence, the given statement is true.