Relations and F...

If R is a relation from a set A to a set B and S is a relation from B to C, then the relation  S ∘ R.

The binary operation * defined on the set of integers as a∗ b = |a − b| −1  is:

R is a relation from {11, 12, 13} to {8, 10, 12} defined by y = x – 3. The relation R⁻¹=

Given the relation R = {(1, 2), (2, 3)} on the set {1, 2, 3}, the minimum number of ordered pairs which when added to R make it an equivalence relation is =

Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1),(3,2)} be a relation on the set A = {1, 2, 3, 4}. The relation R is

In Z , the set of integers, inverse of – 7 , w.r.t. ‘ * ‘ defined by a * b = a + b + 7 for all a, b ∈ Z ,is

A Relation is a

A relation R on a set A is called an empty relation if