If R1 and R2 are binary relations from set A to set B, then the equality ______ holds.

(a) (R^c)^c = R^c

(b) (A x B)^c = Φ

(c) (R1 U R2)^c = R1^c ∪ R2^c

(d) (R1 U R2)^c = R1^c ∩ R2^c

I got this question by my college director while I was bunking the class.

Query is from Closure on Relations in chapter Relations of Discrete Mathematics

Discrete Mathematics Relations in Discrete Mathematics . 3 years ago

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The correct ANSWER is (C) (R1 U R2)^c = R1^c ∪ R2^c

The BEST I can explain: To PROOF (R1 U R2)^c = R1^c ∪ R2^c,

if belongs to (R1 U R2)^c

∈ (R1 U R2)

∈ R1or ∈ R2

∈ R1^cor ∈ R2^c

∈ R1^c ∪ R2^c.

Posted on 02 Dec 2021, this text provides information on Discrete Mathematics related to Relations in Discrete Mathematics. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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