If and then _____.
None of the above
/
If then is _____.
{(2, 4), (3, 4)}
{(4, 2), (4, 3)}
{(2, 4), (3, 4), (4, 4)}
{(2,2), (3,3), (4,4), (5,5)}
Let A = {1, 2, 3, 4, 5}; B = {2, 3, 6, 7}. Then the number of elements in (A × B) ( (B × A) is _____.
18
6
4
0
Let A = {1, 2, 3}, B = {1, 3, 5}. A relation is defined by R = {(1, 3), (1, 5), (2, 1)}. Then is defined by _____.
{(1,2), (3,1), (1,3), (1,5)}
{(1, 2), (3, 1), (2, 1)}
{(1, 2), (5, 1), (3, 1)}
None of the above
Let R be a relation on the set N of natural numbers defined by nRm ( n is a factor of m (i.e., n|m). Then R is _____.
Reflexive and symmetric
Transitive and symmetric
Equivalence
Reflexive, transitive but not symmetric
Let R and S be two non-void relations on a set A. Which of the following statements is false?
R and S are transitive ( R ( S is transitive
R and S are transitive ( R ( S is transitive
R and S are symmetric ( R ( S is symmetric
R and S are reflexive ( R ( S is reflexive
The relation R is defined on the set of natural numbers as {(a, b) : a = 2b}. Then is given by _____.
{(2, 1), (4, 2), (6, 3).....}
{(1, 2), (2, 4), (3, 6)....}
None of the above