Question

let a = {1,2,3,.......,25}and r is the relation "is one fourth of " in a . write r as a subset of a×a . also find the domain and range of r​

Answer 1

Answer:

Since the set a={1,2,3,...25} and we have to find the set r who has relation of  one fourth of with set a hence we get to know that the first and the second numbers must be in the ratio 1:4.

r = {(1,4),(2,8),(3,12),(4,16),(5,20),(6,24)} thus these are the numbers satisfying the given relation.

So, we know that domain is the set of the first numbers hence domain is {1,2,3,4,5,6} and range is the set of all second numbers {4,8,12,16,20,24}.