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An Introduction to Basic Set Theory

Union

Explore the union operation in set theory, which merges all elements from two sets without duplicates. Understand key properties and cardinality relationships of unions in finite sets. Gain hands-on experience with Python to perform union operations efficiently.

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A union is a binary set operation, which means two operands are required to perform this binary operation. We mean an arbitrary set whenever we talk about a set without defining it.

Union

The union of the two sets AA and BB is the set CC that contains every element that is a member of either AA or BB (or both). We can write this definition as follows:

C=A∪B={x∣x∈A∨x∈B}C=A \cup B = \{x \mid x\in A \lor x\in B\}

Note: If an object is a member of both AA and BB, it will appear only once in the union set CC ...