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De Morgan’s Theorem gives the following equations on set operations.

(A ∪ B)’ = A’ ∩ B’

(A ∩ B)’ = A’ ∪ B’

De Morgan's Theorem can be used to simplify expressions involving set operations. It is also used in Physics for the simplification of Boolean expressions and digital circuits.

The following videos will illustrate De Morgan's Theorem using sets and set operations.

DeMorgan's Theorems Tutorial

You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.