Let {Aα:α∈I}{Aα:α∈I} be a nonempty indexed collection of sets.  Prove or disprove P(⋂α∈IAα)=⋂α∈IP(Aα)P(⋂α∈IAα)=⋂α∈IP(Aα).

Q: Let A and B be subsets of a universal set U and suppose n(U) = 400, n(A) = 200, n(B) = 160, and n(A…

A: A set is a collection of elements. The elements that make up a set can be any kind of mathematical…

Q: Show that the translate of an Fδ set is also Fδ.

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.