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Question
State, if the following pair of a set is equivalent or not:
Set of integers and set of natural numbers.
Solution
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.
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