Question

the following venn diagram shows set a, b, and c inside a universal set, u. what is a ∩ b ∩ c?

Explanation:

Step1: Recall the definition of intersection

The intersection \(A\cap B\cap C\) represents the elements that are common to all three sets \(A\), \(B\), and \(C\).

Step2: Identify the common region in the Venn - diagram

In a Venn - diagram with three sets \(A\), \(B\), and \(C\), the region that is inside all three circles (the innermost overlapping region) gives the elements of \(A\cap B\cap C\). Looking at the given Venn - diagram, the number in the region that is common to \(A\), \(B\), and \(C\) is \(9\).

Answer:

\(A\cap B\cap C=\{9\}\)