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प्रश्न
State, if the following pair of a set is equivalent or not:
Set of integers and set of natural numbers.
योग
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उत्तर
Check whether the given pair of sets are equivalent
Given: Set of integers and set of natural numbers.
A set of integers is {...−1,0,1,2,3,....},
which is clearly an infinite set as it has uncountable number of elements.
A set of natural numbers is {0, 1, 2, 3,......}
which is also an infinite set as it has an uncountable number of elements.
As both the sets have the same number of elements, the two sets are equivalent sets.
Hence, given sets are equivalent.
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