Element of Infinitely Many Subsets of a Given Set
Not what you're looking for?
Please see the attached file.
Let A_n be a sequence of subsets of a given set X, and let J be the set of all x in X that are in infinitely many A_n.
Show that J is equal to the intersection (from n = 1 to infinity) of [the union (from i = n to infinity) of A_i].
Purchase this Solution
Solution Summary
A complete, detailed proof of the claimed set equality is presented.
Education
- AB, Hood College
- PhD, The Catholic University of America
- PhD, The University of Maryland at College Park
Recent Feedback
- "Thanks for your assistance. "
- "Thank you. I understand now."
- "Super - Thank You"
- "Very clear. I appreciate your help. Thank you."
- "Great. thank you so much!"
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Probability Quiz
Some questions on probability
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.