Math Problem Statement

Use the Venn diagram to find the elements in the set A ∩ B.

Solution

The image shows a Venn diagram problem asking to find the elements in the set ABA \cap B. The Venn diagram consists of two overlapping circles representing sets AA and BB, with numbers placed in different regions. Let's break it down based on the Venn diagram and your given set notation.

The set ABA \cap B represents the intersection of sets AA and BB, i.e., the elements that are common to both sets.

From the image, the numbers in the overlapping section of sets AA and BB are: AB={4,6}A \cap B = \{4, 6\}

Would you like further details or clarification on this solution?

Here are 5 related questions you can explore:

  1. What is the union of sets AA and BB?
  2. How many elements are there in ABA \cup B?
  3. What elements are only in set AA but not in BB?
  4. How do we calculate the complement of ABA \cap B?
  5. How can Venn diagrams represent three sets?

Tip: The intersection of sets only includes elements that are found in both sets simultaneously.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Venn Diagrams
Intersection of Sets

Formulas

A ∩ B = {elements common to both sets A and B}

Theorems

Intersection of Sets

Suitable Grade Level

Grades 6-8