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.

Answer 1

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
∴ R = {(11, 8), (13, 10)}
Or,
R^-1 = {(8, 11), (10, 13)}