Chapter 2 - Sets |
| Sets - DeMorgan's Set Identity Laws - Contents |
The DeMorgan laws establish the rules of taking complements of sets. They apply to all sets including the set of real numbers.
| Sets - DeMorgan's Set Identity Laws - Definitions |
Where A and B are sets of numbers:
C (A U B) = C (A)
C (B)
The complement of (A union B) equals the complement of (A) intersected with the complement of (B)
This law states that the complement of the union of two sets is the intersection of the complements.C (A
B) = C (A) U C (B)
The complement of (A intersection B) equals complement of (A) united with the complement of (B)
This law states that the complement of the intersection of two sets is the union of the complements.
| Sets - Sections - Chapters | ||
| 1 - Set Definition | 2 - Universal Set | 3 - Power Set |
| 4 - Set Union | 5 - Set Intersection | 6 - Set Complement |
| 7 - Set Identity Laws | 8 - Commutative Laws | 9 - Associative Laws |
| 10 - Distributive Laws | 11 - DeMorgan's Laws | |
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