Q11 of 109 Page 1

Define a symmetric relation.

Relation R on a set A is said to be a symmetric relation on A if:

(a,b) ∈ R

⇒ (b,a) ∈ R ∀ a,b∈ A

eg A={1,2,3}

⇒ R={(1,2),(2,1),(1,3),(3,1),(2,3),(3,2)}

Let A = {3, 5, 7}, B = {2, 6, 10} and R be a relation from A to B defined by R = {(x, y) : x and y are relatively prime}. Then, write R and R^–1.

Define a reflexive relation.

Define a transitive relation.

Define an equivalence relation.