If A = {1, 2, 3} then relation S = {(1, 1), (2, 2)} is
A. | symmetric only |
B. | anti-symmetric only |
C. | both symmetric and anti-symmetric |
D. | an equivalence relation |
Option: C Explanation : Click on Discuss to view users comments. |
Which of the following statements is true?
A. | Every equivalence relation is a partial-ordering relation. |
B. | Number of relations form A = {x, y, z} to B= (1, 2), is 64. |
C. | Empty relation φis reflexive |
D. | Properties of a relation being symmetric and being un-symmetric are negative of each other. |
Option: B Explanation : Click on Discuss to view users comments. |
Let A = {1, 2, .....3 }
Define ~ by x ~ y ⇔ x divides y. Then ~ is
A. | reflexive, but not a partial-ordering |
B. | symmetric |
C. | an equivalence relation |
D. | a partial-ordering relation |
Option: D Explanation : Click on Discuss to view users comments. |