Math Problem Statement

Use the Venn diagram and find the elements in the set B'.

Solution

In the provided Venn diagram, we are asked to find the elements in the set BB'.

Interpretation:

  • BB' is the complement of set BB, which means all the elements that are not in set BB.
  • From the diagram:
    • Elements in set BB are {1,4,7,9,3}\{1, 4, 7, 9, 3\}.
    • We need to identify all the elements that are outside of BB.

Elements outside BB:

Looking at the Venn diagram, the elements outside of set BB (i.e., in AA only and outside both sets) are:

  • 55, 88 (elements in AA)
  • 66, 22 (elements outside both sets)

Thus, B={5,8,6,2}B' = \{5, 8, 6, 2\}.

Would you like further details or have any questions?

Related questions:

  1. What is the difference between a set complement and an intersection?
  2. How can we express the union of sets AA and BB?
  3. What does the intersection of sets AA and BB represent in this diagram?
  4. How do you find the union of set BB' and set AA?
  5. How would the answer change if we were asked for AA' instead of BB'?

Tip: When dealing with Venn diagrams, it's helpful to first identify which elements belong to which regions, and then apply the set operations accordingly.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Venn Diagrams
Complement of a Set

Formulas

B' = Universal Set - B

Theorems

Set Complement Theorem

Suitable Grade Level

Grades 6-8