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प्रश्न
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.
पर्याय
True
False
उत्तर
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.
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