Question

the venn diagram below shows the set of numbers (3, 6, 7, 8, 12, 16, 19, 24, 27) in two sets, which are a and b. which of the following are elements of a\\b? a (12, 24) b (6, 8, 12, 20, 24) c (3, 7, 12, 16, 24, 27) d (3, 6, 7, 8, 12, 16, 20, 24, 27)

Explanation:

Step1: Recall the definition of \(A\setminus B\)

\(A\setminus B\) means elements that are in set \(A\) but not in set \(B\).

Step2: Identify elements in \(A\) and not in \(B\)

Looking at the Venn - diagram:

• Elements in set \(A\) are \(3,12,15,24,27,7\).
• Elements in set \(B\) are \(6,8,12,20,24\).
• Elements in \(A\) but not in \(B\) are \(3,7,15,27\).

Answer:

C. \(\{3,7,12,15,24,27\}\)