Question

Write the following relation as ordered pairs : R is a relation from a set A = {2, 3, 4, 5, 6}
to the set B = {1, 2, 3} defined by x = 2y, where x belongs to A and y belongs to B.

Answer 1

Answer:

As defined we have to simply make set of (a,b) such that a is divisor of b such that a∈A and b∈B.

So, R={(2,4),(3,3),(4,4)}

Answer 2

Step-by-step explanation:

Given:-

A = {2, 3, 4, 5, 6}

B = {1, 2, 3}

To find :-

Write the following relation as ordered pairs : R is a relation from a set A = {2, 3, 4, 5, 6}

to the set B = {1, 2, 3} defined by x = 2y, where x belongs to A and y belongs to B.

Solution:-

Given sets are

A = {2, 3, 4, 5, 6}

B = {1, 2, 3}

The realtion from A to B =

{ (2,1),(2,2),(2,3),(3,1),(3,2),(3,3),(4,1),(4,2),(4,3),(5,1),(5,2),(5,3),(6,1),(6,2),(6,3)}

Given realtion from A to B is defined as

x = 2y , x€A and b € B

R = { ( 2,1),(4,2),(6,3)}

Where 2,4,6 belongs to A

1,2,3 belongs to B

and

2 = 2×1

4 = 2×2

6 = 2×3

Answer:-

The required relation for the given problem is { ( 2,1),(4,2),(6,3) }