Solution

The correct answer is option 4.

Key Points

R1 U R2 (union) is the relation containing all tuples that appear in R1, R2, or both. 

                     R1 ∪ R2= R1 or R2= R₁+R₂- R1 ∩ R2 

                             R1 ∪ R2 =  {(1, 1), (1, 2), (1, 3), (1, 4), (2, 2), (3, 3)}​

 R1 - R2 (set difference) is the relation containing all tuples of R1 that do not appear in R2

                    R1 - R2 =  R1 -R1 ∩ R2 

                    R1 - R2= {(2, 2), (3, 3)}

R1 ∩ R2 (intersection) is the relation containing all tuples that appear in both R1 and R2.

                   R1 ∩ R2 = R₁and R₂=  {1, 1}​                   

 R2 - R1 (set difference) is the relation containing all tuples of R2 that do not appear in R1

                   R2 - R1=R2 -R1 ∩ R2  = {(1, 2), (1, 3), (1, 4)}

∴ Hence the correct answer is A - I, B - IV, C - II, D - III.