Classify the set of odd natural numbers whose square is less than $50$ as empty, finite or infinite set.

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Solution

Squares of odd natural numbers having value less than $50$ are as follows:
$1^{2} = 1$
$3^{2} = 9$
$5^{2} = 25$
$7^{2} = 49$
So, the set will have finite number of elements as $\{1, 3, 5, 7\}$ .
Hence, it is a finite set.

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