Question

is a relation on = {,,,,,} defined as
= {(, ): , ∈ , + = }.Write R in roster form. Represent this relation in an arrow diagram. Is this relation a function? Give reason for your answer.

Answer 1

Answer:

A={1,2,3,4,6}

R={(a,b):a,b∈A,b is exactly divisible by a}

(i) R={(1,1),(1,2),(1,3),(1,4),(1,6),(2,2),(2,4),(2,6),(3,3),(3,6),(4,4),(6,6)}

(ii) Domain of R={1,2,3,4,6}

(iii) Range of R={1,2,3,4,6}