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, was not in France, is not a national monument, and is not a woman.)
- The Eiffel Tower is in more than one of these sets. (It is located in France and is a national monument, so it lies in F and M.)

False:
- The Statue of Liberty ∈ A. (The statue is not alive.)
- The Statue of Liberty ∉ M. (False, because the Statue of Liberty is a national monument.)