Which one identifies the transitivity of a relation R?2 pointsFor every x, then xRxIf xRy and yRz, then xRzIf xRy, then yRxIf xRy and xRz, then yRz

etermine whether the each of the relation defined on the set of positive integers is reflexive,symmetric, antisymmetric, or transitive.(a) R = {(x, y) : xy = 2}(b) R = {(x, y) : xy ≥ 1}(c) R = {(x, y) : x = and2}(d) R = {(x, y) : 3 divides (x + 2and)}(It is) R = {(x, y) : x − and = 2}(f) R = {(x, y) : 3 divides (x − an

Assume the R is a relation on a set A, aRb is partially ordered such that a and b are _____________ans.transitivesymmetricreflexive and transitivereflexive Previous Marked for Review Next

The binary relation {(1,1), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2)} on the set {1, 2, 3} is __________Question 1Answerreflexive, symmetric and transitiveneither reflexive, nor irreflexive but transitiveirreflexive and antisymmetricirreflexive, symmetric and transitive

A={1,2,3,4}, THEN R={(1,2),(1,3),(3,3),(3,1)} IS A __________ans.TRANSITIVE RELATIONNON SYMMETRIC RELATIONANTI SYMMETRIC RELATIONREFLEXIVE RELATION

n the set N×N, the relation R is defined by (a, b) R(c,d)⇔ad=bc. Then R ispartial order relationequivalence relationreflexive and transitive but not symmetricsymmetric and transitive but not reflexive