Answer
A× B ={ (2,6),(2,8),(2,10),(4,6),(4,8),(4,10)}
R ={ (2,6),(2,8),(2,10),(4,8)}
S ={ (2,6),(4,8)}
R∪S = R, R∩S = S
Work Step by Step
as
- A ={ 2,4} and B ={ 6,8,10} and defining relations R and S from A to B as follows: For all (x, y) ∈ A× B,
-x R y ⇔ x|y
- x S y ⇔ y−4= x
-A× B ={ (2,6),(2,8),(2,10),(4,6),(4,8),(4,10)}
-R ={ (2,6),(2,8),(2,10),(4,8)}
-S ={ (2,6),(4,8)}
-R∪S = R, R∩S = S