Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Consider the following sets:
[tex]\[ A = \{ x \mid x \text{ is alive} \} \][/tex]
[tex]\[ F = \{ x \mid x \text{ is in France} \} \][/tex]
[tex]\[ M = \{ x \mid x \text{ is a national monument} \} \][/tex]
[tex]\[ W = \{ x \mid x \text{ is a woman} \} \][/tex]

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

A. Paris [tex]\(\in F\)[/tex]
B. The Statue of Liberty [tex]\(\in A\)[/tex]
C. The Statue of Liberty [tex]\(\in M\)[/tex]
D. Abraham Lincoln belongs to none of these sets.
E. The Eiffel Tower is in more than one of these sets.

Sagot :

GinnyAnswer
To determine the truth of each statement regarding the sets [tex]\( A \)[/tex], [tex]\( F \)[/tex], [tex]\( M \)[/tex], and [tex]\( W \)[/tex], let's evaluate them step by step:

1. Paris [tex]$\in F$[/tex]:
- The statement asserts that Paris is in the set [tex]\( F \)[/tex], meaning Paris is in France.
- True, Paris is indeed a city in France.

2. The Statue of Liberty [tex]$\in A$[/tex]:
- This statement assesses if the Statue of Liberty is part of the set [tex]\( A \)[/tex], which includes entities that are alive.
- False, the Statue of Liberty is a monument and not a living entity.

3. The Statue of Liberty [tex]$\in M$[/tex]:
- This fact checks if the Statue of Liberty belongs to the set [tex]\( M \)[/tex], denoting national monuments.
- True, the Statue of Liberty is designated as a national monument.

4. Abraham Lincoln belongs to none of these sets:
- This statement claims Abraham Lincoln does not belong to any of the sets [tex]\( A \)[/tex], [tex]\( F \)[/tex], [tex]\( M \)[/tex], or [tex]\( W \)[/tex].
- True, Abraham Lincoln does not fall into any of these categories: he is not alive ([tex]\(A\)[/tex]), not located in France ([tex]\(F\)[/tex]), not a national monument ([tex]\(M\)[/tex]), and not a woman ([tex]\(W\)[/tex]).

5. The Eiffel Tower is in more than one of these sets:
- This statement checks if the Eiffel Tower belongs to more than one of the sets [tex]\( F \)[/tex], [tex]\( A \)[/tex], [tex]\( M \)[/tex], or [tex]\( W \)[/tex].
- True, the Eiffel Tower is both in France ([tex]\(F\)[/tex]) and is a national monument ([tex]\(M\)[/tex]).

Summarizing:
- Paris [tex]\(\in F\)[/tex]: True
- The Statue of Liberty [tex]\(\in A\)[/tex]: False
- The Statue of Liberty [tex]\(\in M\)[/tex]: True
- Abraham Lincoln belongs to none of these sets: True
- The Eiffel Tower is in more than one of these sets: True

Thus, the final conclusion for which statements are true is as follows:
- Paris [tex]\(\in F\)[/tex]: True
- The Statue of Liberty [tex]\(\in A\)[/tex]: False
- The Statue of Liberty [tex]\(\in M\)[/tex]: True
- Abraham Lincoln belongs to none of these sets: True
- The Eiffel Tower is in more than one of these sets: True
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.