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Q: All infinite sets are not equal?

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There are finite sets, countably infinite sets and uncountably infinite sets.

we can consider all infinite sets as equivlent sets if we go by the the cantor set theory.for eg. on a number line if we consider the nos. between 0 and 1 as a set then they are infinite. similarly the nos. between 0 and 5 can also be considered infinite and if considered as a set then they can be considered as equivalent

Yes. Equivalent means equal.

The number 15 belongs to an infinite amount of sets.

Yes.

stars in the sky that's the some example of infinite sets

No.

Sets are collection of distinct objects. In mathematics there are different types of sets like Finite set, Infinite set, Universal set, subset, equal set, equivalent set. Example of Finite set {1,2,3,4}. Infinite set:{1,2,3....}.

Closed sets and open sets, or finite and infinite sets.

Two sets are said to be equal when all the elements in the two sets are same

No, because equivalent sets are sets that have the SAME cardinality but equal sets are sets that all their elements are precisely the SAME. example: A={a,b,c} and B={1,2,3} equivalent sets C={1,2,3} and D={1,2,3} equal sets

Closed sets and open sets, or finite and infinite sets.

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