Question

use the venn diagram to the right to determine the cardinality.
$n(acap b)$
$n(acap b)=square$
(type a whole number.)

Explanation:

Step1: Recall the definition of \(n(A\cap B)\)

\(n(A\cap B)\) represents the number of elements that are common to both set \(A\) and set \(B\).

Step2: Identify the common region in the Venn - diagram

In a Venn diagram, the intersection \(A\cap B\) is the overlapping region of the two circles (representing sets \(A\) and \(B\)). Looking at the given Venn diagram, the element in the overlapping region is \(\theta\). So, the number of elements in \(A\cap B\) is \(1\).

Answer:

\(n(A\cap B)=1\)