Math Problem Statement

{8,11,13,14}∩{11,14,15}

Solution

The intersection of two sets, denoted by \cap, includes only the elements that are present in both sets.

Given the sets:

  • {8,11,13,14}\{8, 11, 13, 14\}
  • {11,14,15}\{11, 14, 15\}

The common elements in both sets are 1111 and 1414.

Thus, the intersection of the two sets is: {11,14}\{11, 14\}

Would you like more details on set operations, or do you have any questions?

Here are five related questions:

  1. What is the union of {8,11,13,14}\{8, 11, 13, 14\} and {11,14,15}\{11, 14, 15\}?
  2. How do you find the difference between two sets?
  3. What are the common elements between {2,4,6}\{2, 4, 6\} and {4,6,8}\{4, 6, 8\}?
  4. What is the result of {8,11,13,14}{11,14,15}\{8, 11, 13, 14\} \cup \{11, 14, 15\}?
  5. Can you find the complement of a set?

Tip: When working with sets, always remember that the intersection operation narrows down the elements to only those shared by all sets involved.

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Math Problem Analysis

Mathematical Concepts

Set Theory

Formulas

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Theorems

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Suitable Grade Level

General Audience