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

Answer:

(1) Paris ∈ F.

Paris is the capital of France. So, Paris is in France.

So, This is TRUE

(2) The Statue of Liberty ∈ A.

Since, A statue is not alive.

So, This is FALSE

(3) The Statue of Liberty ∉ M.

Statue of Liberty is the national monument so it must belong to M

So, This is FALSE

(4) Abraham Lincoln belongs to none of these sets.

Abraham Lincoln is a man and is alive so He does not belong to any of the sets

So, This is TRUE.

(5) The Eiffel Tower is in more than one of these sets.

Eiffel Tower is situated in France so it belongs to F

Also, Eiffel Tower is the national monument so it also belongs to M

Hence, The Eiffel Tower belongs to more than one set

So, This is TRUE.

Answer 2

(1) Paris ∈ F. True (Paris is the capital of France)

(2) The Statue of Liberty ∈ A. False  (a statue is not alive)

(3) The Statue of Liberty ∉ M. False (SoL is a monument)

(4) Abraham Lincoln belongs to none of these sets. True

(5) The Eiffel Tower is in more than one of these sets. True (ET is in F and M)