# If R is a relation from set A

Question:

If R is a relation from set A = (11, 12, 13) to set B = (8, 10, 12) defined by y = x − 3, then write R−1.

Solution:

Given:

A = (11, 12, 13) and B = (8, 10, 12)

R is defined by (y = x − 3) from A to B.

We know:

$8=11-3$

$10=13-3$

$\therefore R=\{(11,8),(13,10)\}$

Or,

$\mathrm{R}^{-1}=\{(8,11),(10,13)\}$