Question

Let A={3,4,7,8} and B={1,7,10} the following set R={(3,7), (4,7),(7,10),(8,1)} is
relation from A to B?

Answer 1

It is given that , a= {1,5}, b={3,7} : r=(a,b) and a-b is multiple of 4.

We have to find relation r.

Solution : Consider the following pairs

(1,3)=1 -3= -2,

(1,7) = 1- 7 = -6

(5,3) = 5 -3 =2

(5,7) = 5 - 7 = -2

As , none of the pair (1,3),(1,7), (5,3),)(5,7) satisfies the condition that a-b is multiple of 4, where a= first element of ordered pair and b= Second element of ordered pair.

So→ [r(a, b) such that a-b is multiple of 4], does not form any kind of relation from a to b.