Problem-45
Let R1={(1,2),(2,3),(3,4)} and R2={(1,1),(1,2),(2,1),(2,2),(2,3),(3,1),(3,2),(3,3),(3,4)} be relations from {1,2,3} to {1,2,3,4}.
For the ordered pair (a,b), write the ordered pairs in increasing order of a and then b, separated by commas without any spaces. For example, (1,2),(1,4),(2,3),(3,4),(3,5). Enter 0 if the set is empty.
a) Find R1∩R2.
b) Find R1−R2.
Solution
a) Find R1∩R2.
R1∩R2={ (1,2),(2,3),(3,4) }
b) Find R1−R2.
R1−R2={ 0 }