A relation R is defined from a set A={2,3,4,5} to set B={3,6,7,10} as follows:(x,y) belongs to R double implication x is relatively prime to y. Express R as a set of ordered pairs and determine its domain and range.

A relation R from the set A ={2, 3, 4, 5} to B = {3, 6, 7, 10} is defined as, (x, y) ∈ R ⇒ x is relatively prime to y.

Now, it is seen that 2 is relatively prime to 3,  [HCF of 2 and 3 is 1]

So, (2, 3) ∈ R

Similarly, 2 is relatively prime to 7 so that (2, 7) ∈ R etc.

So, we get R = {(2, 3), (2, 7), (3, 7), (3, 10), (4, 3), (4, 7), (5, 3), (5, 6), (5, 7)}

Thus, domain = {2, 3, 4, 5} and range = {3, 6, 7, 10}.