Chapter 2 - Sets |
| Sets - Commutative Laws - Contents |
The commutative laws establish the rules to the order of the sets when taking the union and intersection. They apply to all sets including the set of real numbers.
| Sets - Commutative Laws - Definitions |
Where A and B are sets of numbers:
A U B = B U A
A union B equals B union A
This law states that the union of two sets is the same no matter what the order is in the equation.A
B = B
A
A intersection B equals B intersection A
This law states that the intersection of two sets is the same no matter what the order is in the equation.
| 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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