Question

A relation R is defined form a set A = { 2, 3, 4, 5 } to a set B = { 3, 6, 7, 10 }as follows: ( x, y) belongs to R ⇔x divides y. Express R as a set of ordered pairs and determined the domain and range of R. Represent this relationusing arrow diagram

Answer 1

Answer:

ANSWER

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}.