Let \( \mathrm{R} \) and \( \mathrm{S} \) be two non-void relations...

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Let \( \mathrm{R} \) and \( \mathrm{S} \) be two non-void relations on a set
\( \mathrm{P} \)
A. Which of the following statements is false
W
(A) \( \mathrm{R} \) and \( \mathrm{S} \) are transitive \( \Rightarrow \mathrm{R} \cup \mathrm{S} \) is transitive
(B) \( \mathrm{R} \) and \( \mathrm{S} \) are transitive \( \Rightarrow \mathrm{R} \cap \mathrm{S} \) is transitive
(C) R and \( \mathrm{S} \) are symmetric \( \Rightarrow \mathrm{R} \cup \mathrm{S} \) is symmetric
(D) \( \mathrm{R} \) and \( \mathrm{S} \) are reflexive \( \Rightarrow \mathrm{R} \cap \mathrm{S} \) is Reflexive
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