Let R1, R2 be relations on a set A. (a) Prove or disprove that R1, R2 reflexive
Question:
(a) Prove or disprove that R1, R2 reflexive ⇒ R1 ⋂ R2 reflexive,
(b) Answer part (a) when each occurrence of "reflexive" is replaced by
(i) Symmetric;
(ii) Antisymmetric; and
(iii) Transitive.
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a For all x A x x R 1 R 2 so x x R 1 R 2 and R 1 R 2 is reflexiv...View the full answer
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Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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