Understanding the Rule for Calculating Unions in Mathematics: A Step-by-Step Guide Using Set Theory

What is the rule for calculating unions?

The rule for calculating unions in mathematics can be understood through the concept of set theory

The rule for calculating unions in mathematics can be understood through the concept of set theory. In set theory, the union of two sets represents the collection of all distinct elements present in both sets.

The notation used to denote the union of two sets A and B is given by A ∪ B. To calculate the union, you combine all the elements from both sets, while eliminating any duplicates.

Here is the step-by-step process for calculating the union of two sets:

1. Identify the two sets for which you want to calculate the union, let’s say set A and set B.

2. Write down the elements of each set individually. For example, if A = {1, 2, 3} and B = {2, 3, 4}, list the elements as follows:

A = {1, 2, 3}
B = {2, 3, 4}

3. Combine the elements from both sets into a single set, while eliminating any duplicates. The resulting set will be the union of A and B.

A ∪ B = {1, 2, 3, 4}

In this example, the union of A and B contains all the elements present in both sets while eliminating the duplication of the element “2” and “3” in the combined set.

It is important to note that the union operation can be performed on any number of sets, not just two. For multiple sets, you simply combine all the sets’ elements while removing any duplicates to obtain the union set.

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