DM-Groups and Lattice-Q11

+2 votes

Let R be a relation from a set A to a set B. The inverse relation from B to A, denoted by R^{-1}, is the set of ordered pairs  \{(b, a) | (a, b) \in R\}.

S1: R is reflexive relation iff R^ {-1} = R

S2: R is a symmetric relation iff R^ {-1} = R

Which one of the following statements is true?

(A).Only S1

(B).Only S2

(C).Both S1 and S2


asked Jul 8 in Discrete Maths by gbeditor (23,750 points)
reshown Jul 9 by gbeditor

1 Answer

–1 vote
B is correct
answered Jul 9 by tsnikhilsharmagate2018 (31,600 points)
can anyone give solution..., i solved it but dont know whether it is correct or not
1st statement is false , take any reflexive relation with diagonal elements and one element extra , now reverse it.
2nd statement can be proven mathematically using set contain method.