Q. $R$ 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 these
Explanation
(a)
Given, $y = x - 3 \Rightarrow x - y = 3$
$\therefore\ \ \ \ \ \ R = \left\{ (11,\ 8),\ (13,\ 10) \right\}$
$\Rightarrow \ \ \ \ \ R^{- 1} = \{(8,\ 11),\ (10,\ 13)\}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.