Question

Let R be a relation defined on set A = {1, 2, 3, 4, 5, 6, 7, 8} such that R = {(2, 3) (4, 5) (7, 8)}. If the domain of R is set B and range is set C, then B ∩ C is

• A. Φ
• B. {2, 4, 7}
• C. {3, 5, 8}
• D. {3}

Answer 1

Answer: (A)

Φ

Answer 2

Given:

$R = \{(2,3), (4,5), (7,8)\}$

Domain $B = \{2, 4, 7\}$ and Range $C = \{3, 5, 8\}$

Finding $B \cap C$:

$B \cap C = \{2, 4, 7\} \cap \{3, 5, 8\} = \emptyset$