Determine whether the relation R on the set of all people is reflexive,symmetric, antisymettric and/or transitive where (a,b) ∈ R if and only if 1. a is taller than b. 2. a and b born on same day. 3. a has the first name as the b. a and b have a common grandparent. Which of the above relations on the set of all people are equivalence relations and/or partial order relation?

Determine whether the relation R on the set of all people is reflexive,symmetric, antisymettric and/or transitive where (a,b) ∈ R if and only if 1. a is taller than b. 2. a and b born on same day. 3. a has the first name as the b. a and b have a common grandparent. Which of the above relations on the set of all people are equivalence relations and/or partial order relation?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...

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