Question

The shaded region in the Venn diagram represents

• A. \( A' \cap B \)
• B. \( A \cap B \)
• C. \( (A \cap B)' \)
• D. \( A' \cap B' \)

Hint:

In Venn diagrams, the complement of a set includes all elements not in the set. Make sure to carefully identify the region that is shaded or marked in the diagram.

Answer 1

The Correct Option is D

In the given Venn diagram, the shaded area represents the region outside of both sets \( A \) and \( B \), which corresponds to the complement of the union of \( A \) and \( B \). In set notation, this is written as: \[ A' \cap B' \quad \text{(the region outside both \( A \) and \( B \))} \] Thus, the correct answer is \( A' \cap B' \), which represents the region that is outside both sets \( A \) and \( B \).