Abstract Algebra

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Not an Element of a Set

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Let $S$ be a set, that is, a collection of objects.

We say that an object $x$ is an element of $S$ if $x$ is a member of this collection.

We write $x\in S$ when $x$ is an element of $S$ (not to be confused with the Greek letter $\epsilon$ (epsilon)),
and $x\not\in S$ when $x$ is not an element of $S$.

For which of the following sets $S$ is the word "Seven'' NOT an element of $S$, that is, Seven $\not\in S$:

A

The set $S$ of titles of the movies directed by David Fincher.

B

The set $S$ of titles of the movies starring Morgan Freeman.

C

The set $S$ of titles of the movies starring Brad Pitt and Morgan Freeman.

D

The set $S$ of titles of the albums by Sugababes.

E

The set $S$ of titles of the songs by Megadeth from their 1999 album Risk.