Discrete Math Let $ R_1 $ and $ R_2 $ both be equivalence relations. Show by proof or disprove by counterexample the following:(a) $ R_1 \cap R_2 $ is an equivalence relation(b) $ R_1 \cup R_2 $ is an equivalence relation

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Answered: Let R₁ and R₂ both be equivalence…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Let R₁ and R₂ both be equivalence relations. Show by proof or disprove by counterex- ample the following: (a) R₁ R₂ is an equivalence relation (b) R₁ U R₂ is an equivalence relation