Set, Relation and FunctionEasy
Question
Let R and S be two relations on a set A. Consider the following statements
S1 : R and S are transitive, then R υ S is also transitive
S2 : R and S are transitive, the R ∩ S is also transitive
S3 : R and S are reflexive, then R ∩ S is also reflexive
S4 : R and S are symmetric, then R υ S is also symmetric
The correct statements are
S1 : R and S are transitive, then R υ S is also transitive
S2 : R and S are transitive, the R ∩ S is also transitive
S3 : R and S are reflexive, then R ∩ S is also reflexive
S4 : R and S are symmetric, then R υ S is also symmetric
The correct statements are
Options
A.S1, S2, S4
B.S2, S3, S4
C.S1, S2, S3
D.S1, S2, S3, S4
More Set, Relation and Function Questions
In the set A = {1, 2, 3, 4, 5}, a relation R is defined by R = {(x, y) | x, y ∈ A and x < y}. Then R is -...Let the relation R on the set $M = \{ 1,2,3,\ldots\ldots.16\}$ be given by$R = \{(x,y):4y = 5x - 3,x,y \in M\}$.Then the...Which one of the following relations on R is equivalence relation -...The number of relations, defined on the set $\{ a,b,c,d\}$, which are both reflexive and symmetric, is equal to:...Let g : → be a differentiable functions with g(0) = 0, g′(0) = 0 and g′(1) ≠ 0. Let and h(x) = e...