Let R be a non-empty relation on a collection of sets defined by ARB if and only if A ∩ B = Ø
Then (pick the TRUE statement)
A. | R is relexive and transitive |
B. | R is symmetric and not transitive |
C. | R is an equivalence relation |
D. | R is not relexive and not symmetric |
Option: B Explanation : |
The binary relation S = Φ (empty set) on set A = {1, 2,3} is
A. | neither reflexive nor symmetric |
B. | symmetric and relexive |
C. | transitive and relexive |
D. | transitive and symmetric |
Option: D Explanation : |
Which of the following sets are null sets ?
A. | {0} |
B. | ø |
C. | { } |
D. | Both (b) & (c) |
Option: D Explanation : |