Answer:
R = { (2,2), (2, 4), (2, 6), (2,8), (4, 2), (4, 6), (6, 2), (6, 8) }
Step-by-step explanation:
Given,
A = { 0, 1, 2, 3, 4, 5, 6 }
B = { 0,1, 2, 3, 4, 5, 6, 7, 8 }
Also, R is the relation from A to B as follows,
R = { (a, b) : HCF ( a, b ) = 2 ∀ a ∈ A, b ∈ B }
Since,
HCF ( 2, 2 ) = HCF ( 2, 4 ) = HCF ( 2, 6 ) = HCF ( 2, 8 ) = HCF ( 4, 2 ) = HCF ( 4, 6) = HCF ( 6, 4) = HCF ( 6, 2 ) =HCF ( 6, 8 ) = 2
Where, 2, 4, and 6 belong to A,
And, 2, 4, 6 and 8 belong to B,
Hence,
R = { (2,2), (2, 4), (2, 6), (2,8), (4, 2), (4, 6), (6, 2), (6, 4), (6, 8) }
