Math Problem Statement

Use the given information to fill in the number of elements for each region in the Venn diagram. n(A U B) = 33, n(A n B) = 8, n(A) = 24, and n(A' U B) = 40 The number of elements in region x is the number of elements in region y is , the number of el the number of elements in region z is (Type whole numbers.) and the number of elements in region w is

Solution

To solve this problem, we need to find the number of elements in each region of the Venn diagram using the provided information:

  • n(A∪B)=33n(A \cup B) = 33 (Number of elements in either A or B or both)
  • n(A∩B)=8n(A \cap B) = 8 (Number of elements in both A and B)
  • n(A)=24n(A) = 24 (Number of elements in set

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Math Problem Analysis

Mathematical Concepts

Set theory
Venn diagrams

Formulas

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Theorems

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Suitable Grade Level

Grades 10-12

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