commutative property of union - distributive property of union over the intersection

Commutative Properties: The Commutative Property for Union and the Commutative Property for Intersection say that the order of the sets in which we do the operation does not change the result. General Properties: A ∪ B = B ∪ A and A ∩ B = B ∩ A.Are union and intersection commutative?The union and intersection of sets may be seen as analogous to the addition and multiplication of numbers. Like addition and multiplication, the operations of union and intersection are commutative and associative, and intersection distributes over the union.

What are the properties of sets?The most basic properties are that a set can have elements and that two sets are equal (one and the same) if and only if every element of each set is an element of the other; this property is called the extensionality of sets.Are sets commutative?Set Commutative LawsThe 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. This law states that the union of two sets is the same no matter what the order is in the equation.What is the union rule for sets?The union of two sets is a new set that contains all of the elements that are in at least one of the two sets. The union is written as A∪B or “A or B”. The intersection of two sets is a new set that contains all of the elements that are in both sets. The intersection is written as A∩B or “A and B”.What are the examples of sets?A set is a collection of distinct objects (elements) that have a common property. For example, cat, elephant, tiger, and rabbit are animals. When these animals are considered collectively, it's called set.What set identity?Set identities are methods of expressing the same set using the names of sets and set operations. They can be used in the algebra of sets. Note that in these examples, A, B, and C are sets, and U denotes the universal set - that is, the set containing all elements in the domain. ∅ denotes the empty set.