Question

Given x = {1,2, 3, 4} & Y = {2,4,6,8,10,12}
classify the following sets of
pairs as
function or not from
X to Y.
R={(2,1),(3,1), (4,2)}​

Answer 1

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}.