Find {16, 18, 21, 50} ∪ {15, 16, 17, 18}.

Verified step by step guidance

1. Identify the two sets involved in the union operation: Set A = \{16, 18, 21, 50\} and Set B = \{15, 16, 17, 18\}.
2. Understand that the union of two sets, denoted as A \cup B, is a set containing all distinct elements from both sets.
3. List all elements from both sets: 16, 18, 21, 50, 15, 17.
4. Remove any duplicate elements to ensure each element appears only once in the union.
5. Write the final set containing all unique elements from both sets.

Key Concepts

Set Union

Set union is a fundamental operation in set theory that combines all unique elements from two or more sets. The union of sets A and B, denoted as A ∪ B, includes every element that is in A, in B, or in both. For example, if A = {1, 2} and B = {2, 3}, then A ∪ B = {1, 2, 3}.

Elements of a Set

An element of a set is an individual object or number that belongs to that set. Sets are defined by their elements, which can be numbers, letters, or other sets. In the context of the question, the elements {16, 18, 21, 50} and {15, 16, 17, 18} are the distinct items that will be combined in the union operation.

Unique Elements

In set theory, a set is defined by its unique elements, meaning that duplicates are not counted. When performing operations like union, any repeated elements from the combined sets are included only once in the resulting set. For instance, in the union of {1, 2} and {2, 3}, the result is {1, 2, 3}, with '2' appearing only once.