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 A - B.
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Topology
Sets and Functions (XV)
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 A - B.
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It explains that 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 A - B.
The solution is given in detail.
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- MSc, Kanpur University
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