Question

find ( a cap b ).
a ( {3,5,6,7,8,11,12} )
b ( {3,5,6,7,8,12} )
c ( {3,7,6,5} )
d ( {3,7} )

Explanation:

Step1: Recall the definition of intersection

The intersection of two sets \( A \) and \( B \), denoted \( A \cap B \), is the set of elements that are in both \( A \) and \( B \).

Step2: Identify elements in both A and B

Looking at the Venn diagram:

• Set \( A \) contains elements: 11, 3, 7, 6 (and the part only in A, but we focus on overlap with B)
• Set \( B \) contains elements: 12, 3, 7, 5 (and the part only in B)

The elements common to both \( A \) and \( B \) are 3 and 7.

Answer:

D. (3,7)