The Symmetric Difference of two Sets: A ring of sets is a non-empty class A of sets such that if A and B are in A, then A difference B and A intersection B are also in A. Show that A must also contain the empty set.
Not what you're looking for?
Topology
Sets and Functions (XIV)
The Algebra of Sets
Ring of Sets
The Symmetric Difference of two Sets
A ring of sets is a non-empty class A of sets such that if A and B are in A, then A difference B and A intersection B are also in A.
Show that A must also contain the empty set.
Purchase this Solution
Solution Summary
It explains the following topic:
A ring of sets is a non-empty class A of sets such that if A and B are in A, then A difference B and A intersection B are also in A.
Then A must also contain the empty set.
The solution is given in detail.
Solution Preview
Topology
Sets and Functions (XIV)
...
Education
- BSc, Manipur University
- MSc, Kanpur University
Recent Feedback
- "Thanks this really helped."
- "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
- "Very nice thank you"
- "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
- "You are awesome. Thank you"
Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
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.