Math Problem Statement

Use the Venn diagram to determine the roster form of set U.

Solution

To answer the question "Set U in roster form," we need to identify all the elements inside the universal set UU in the provided Venn diagram. The universal set UU consists of all elements within the diagram, regardless of whether they belong to sets AA, BB, or CC.

From the Venn diagram, we can list the elements of UU:

U={1,4,5,7,8,13,19,21,22,23,25,28,29,30}U = \{1, 4, 5, 7, 8, 13, 19, 21, 22, 23, 25, 28, 29, 30\}

So, the roster form of UU is:

U={1,4,5,7,8,13,19,21,22,23,25,28,29,30}U = \{1, 4, 5, 7, 8, 13, 19, 21, 22, 23, 25, 28, 29, 30\}

Would you like further details or explanations on Venn diagrams or set theory?

Here are 5 related questions:

  1. What is the difference between a universal set and subsets in set theory?
  2. How do you identify the union of two sets using a Venn diagram?
  3. Can a set be a subset of itself?
  4. How is the intersection of two sets represented in roster form?
  5. What are some real-life examples of using Venn diagrams?

Tip: When writing a set in roster form, make sure that all elements are distinct and listed only once, even if they appear in multiple regions of the Venn diagram.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Venn Diagrams

Formulas

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Theorems

Roster form of a set
Universal set

Suitable Grade Level

Grades 8-10