Скачать или смотреть Commutative Property of Union in Set Theory || Commutative Law of Union of Sets

The Commutative Property of Union is a fundamental rule in set theory that shows the order of sets does not affect the result when taking their union. This means that if you combine two sets, A and B, the outcome will be the same regardless of which set comes first. Mathematically, it is expressed as:
A ∪ B = B ∪ A

This property emphasizes that the union operation is commutative, just like addition in arithmetic. Whether you take A union B or B union A, the resulting set will contain all the unique elements from both sets. The commutative property is essential in simplifying set expressions and plays a key role in understanding set operations, algebra of sets, and logical reasoning in mathematics.

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