Question

Consider the following sets:



A = {x | x is alive}

F = {x | x is in France}

M = {x | x is a national monument}

W = {x | x is a woman}

Which statements are true regarding elements of the given sets? Check all that apply.



Paris ∈ F.
The Statue of Liberty ∈ A.
The Statue of Liberty ∉ M.
Abraham Lincoln belongs to none of these sets.
The Eiffel Tower is in more than one of these sets.

Answer 1

True:
- Paris ∈ F. (Paris is in France.)
- Abraham Lincoln belongs to none of these sets. (He is dead, not in France, not a national monument, and not a woman.)
- The Eiffel Tower is in more than one of these sets. (It is in France (F) and is a national monument (M).)

False:
- The Statue of Liberty ∈ A. (It is not alive.)
- The Statue of Liberty ∉ M. (It is a national monument, so it is in M.)