For sets X = {1, 3, 5}, Y = {7, 9} and relation R = {(1, 7), (1, 9), (3, 9),…
2026
For sets X = {1, 3, 5}, Y = {7, 9} and relation R = {(1, 7), (1, 9), (3, 9), (5, 9)}, the complement of R is:
- A.
{ (3, 7), (5, 7) }
- B.
{ (3, 9), (3, 5) }
- C.
{ (7, 3), (7, 5) }
- D.
{ (7, 1), (9, 1), (9, 3), (9, 5) }
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Correct answer: A
To find the complement of relation R, first determine the universal set U = X × Y. Calculate the Cartesian product: {(1, 7), (1, 9), (3, 7), (3, 9), (5, 7), (5, 9)}. The complement of R consists of all pairs in U that are not in R. Removing the elements of R from U leaves {(3, 7), (5, 7)}.