Questions: Use the Venn diagram shown to list the set A ∩ B ∩ C in roster form.

Use the Venn diagram shown to list the set A ∩ B ∩ C in roster form.
Transcript text: Use the Venn diagram shown to list the set $\mathrm{A} \cap \mathrm{B} \cap \mathrm{C}$ in roster form.
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Solution

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Solution Steps

Step 1: Identify the Intersection of Sets A, B, and C
  • The problem asks for the elements in the intersection of sets A, B, and C, denoted as \( A \cap B \cap C \).
  • In a Venn diagram, the intersection of three sets is represented by the region where all three circles overlap.
Step 2: Locate the Overlapping Region
  • Look at the Venn diagram and find the region where all three sets (A, B, and C) overlap.
  • This region is the central part of the Venn diagram where all three circles intersect.
Step 3: List the Elements in the Intersection
  • Identify the elements in the overlapping region of sets A, B, and C.
  • In the given Venn diagram, the number in the central overlapping region is 21.

Final Answer

\[ A \cap B \cap C = \{21\} \]

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