Math Problem Statement

Find the union of the following sets: {2,8,10,13} U {8,13,15}. Select the correct choice below.

Solution

To find the union of the sets {2,8,10,13}\{2, 8, 10, 13\} and {8,13,15}\{8, 13, 15\}, we combine all elements from both sets, removing any duplicates.

The elements in the first set are:
{2,8,10,13}\{2, 8, 10, 13\}.

The elements in the second set are:
{8,13,15}\{8, 13, 15\}.

To find the union, list all unique elements:
{2,8,10,13,15}\{2, 8, 10, 13, 15\}.

Thus, the union is {2,8,10,13,15}\{2, 8, 10, 13, 15\}.

The correct choice is option A, where you would fill in the box with the set {2,8,10,13,15}\{2, 8, 10, 13, 15\}.

Would you like further explanation?

Here are 5 questions related to set operations:

  1. What is the intersection of two sets?
  2. How is the difference between two sets calculated?
  3. Can the union of two disjoint sets contain any repeated elements?
  4. What is the complement of a set?
  5. How is the cardinality of a union determined?

Tip: The union of sets includes all unique elements from both sets combined, without repeating any values.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Union of Sets

Formulas

Union of Sets: A U B = {x | x ∈ A or x ∈ B}

Theorems

The union of two sets contains all unique elements from both sets

Suitable Grade Level

Grades 6-8