Let R and S be two non-void relation in a set A. Which of the following statements is false?

Let (a, b), (b, c), ∈(R∪S).It is possible that (a, b)∈R - S and (b, c)∈S - R.In such a case, We cannot say that         (a, c) ∈R or  (a, c) ∈S∴     (a, c) may not be in R∪S.∴    R∪S is not transitive.(b) Let (a, b), (b, c)∈R∩S.∴            (a, b), (b, c) ∈ R and (a, b), (b, c)∈S∴                        (a, c)∈R and (a, c)∈S∴(a, c)∈R∩S(C) Let (a, b) ∈R∪S∴                             (a, b)∈R or (a, b) ∈SNow,                         (a, b) ∈R ⇒(b, a)∈R         (∵ R is symmetric)                                   (a, b) ∈S⇒( b- a)∈S      (∵S is symmetric)∴R∪S is symmetric.(d) Let a ∈ A.∴                 ( a, a)∈R and (a, a)∈S ∴                    (a, a) ∈R∩S∴R ∩ S is reflexive