# To prove De Morgan's rule

Modern Algebra

Set Theory (XI)

Laws of Algebra of Sets

De Morgan's Laws (III)

For a subset C of S let C' denote the complement of C in S. For any two subsets A,B of S prove

the De Morgan's rule

Complement of (A intersection B) = (Complement of A) union (Complement of B)

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#### Solution Summary

This solution is comprised of a detailed explanation to prove that for any two subsets A,B of S, the De Morgan's rule

Complement of (A intersection B) = (Complement of A) union (Complement of B). The solution is detailed and well presented.