1. Let X be a set, R, S C X × X binary relations on X. Prove or disprove the following. (a) If R and S are equivalence relations, then RUS is an equivalence relation. (b) If R and S are equivalence...

Abstract Algebra: Please do b

1. Let X be a set, R, S C X × X binary relations on X. Prove or disprove the following.<br>(a) If R and S are equivalence relations, then RUS is an equivalence relation.<br>(b) If R and S are equivalence relations, then RNS is an equivalence relation.<br>

Extracted text: 1. Let X be a set, R, S C X × X binary relations on X. Prove or disprove the following. (a) If R and S are equivalence relations, then RUS is an equivalence relation. (b) If R and S are equivalence relations, then RNS is an equivalence relation.

Jun 04, 2022

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1. Let X be a set, R, S C X × X binary relations on X. Prove or disprove the following. (a) If R and S are equivalence relations, then RUS is an equivalence relation. (b) If R and S are equivalence...

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