Chapter 2 - Sets |
| Sets - Identity Laws - Contents |
The identity laws establish the basic rules for taking the union and intersection of sets including the empty set. They apply to all sets including the set of real numbers.
| Sets - Identity Laws - Definitions |
Where A is any set of numbers:
1) A union A equals A
This law states that the union of two identical sets is the same as the original set.2) A intersection A equals A
This law states that the intersection of two identical sets is the same as the original set.3) A union empty set equals A
This law states that the union of a set and the empty set is the same as the original set.4) A intersection empty set equals empty set
This law states that the intersection of a set and the empty set is the same as the empty set.
| 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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