Find the union of the sets. {1,3,5,7}∪{2,4,6,8,10}

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Identify the two sets given: the first set is $\{1,3,5,7\}$ and the second set is $\{2,4,6,8,10\}$.

Recall that the union of two sets, denoted by $\cup$, combines all elements from both sets without repeating any elements.

List all elements from the first set: \$1, 3, 5, 7$.

Add all elements from the second set: \$2, 4, 6, 8, 10$, making sure not to repeat any elements already listed.

Write the union set by combining all unique elements from both sets into one set.

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Set Union

The union of two sets combines all unique elements from both sets into one set. It is denoted by the symbol ∪. For example, if A = {1, 2} and B = {2, 3}, then A ∪ B = {1, 2, 3}.

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Set Notation

Set notation uses curly braces {} to list elements of a set. Elements are separated by commas, and each element is unique within the set. Understanding this notation helps in identifying and manipulating sets.

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Distinct Elements in Sets

When forming unions, repeated elements are only listed once. Recognizing that sets do not include duplicates ensures the union contains each element a single time, regardless of how many times it appears in the original sets.

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