Question

$R$ is a relation from {11,12,13} to {8,10,12} defined by $y=x-3$ . Then $R^{-1}$ is

• A. {(8,11), (10,13)}
• B. {(11,18), (13,10)}
• C. {(10,13), (8,11)}
• D. None of the above

Answer 1

Answer: (A)

Since R is a relation from {11,12, 13} to {8, 10,12} defined by $y=x-3\Rightarrow x-y=3$ $\therefore$ $R=\{(11,8),(13,10)\}$ $\Rightarrow$ $R^{-1}=\{(8,11),(10,13)\}$