Question

is the relation Rin A=(3,4,5) defined as R={ 13,3),(4,4),(5,5)) transitive ?​

Answer 1

Step-by-step explanation:

ans

Determine whether each of the following relations are reflexive, symmetric and transitive:

(i) Relation R in the set A={1,2,3,...,13,14} defined as

R={(x,y):3x−y=0}

(ii) Relative R in the set N of natural numbers defined as

R={(x,y):y=x+5 andx<4}

(iii) Relation R in the set A={1,2,3,4,5,6} as

R={(x,y):yis divisible byx}

(iv) Relative R in the set Z of all integers defined as

R={(x,y):x−y is an integer}

(v) Relation R in the set A of human beings in a town at a particular time given by

(a)R={(x,y):xandywork at the same place }

(b)R={(x,y):xandylive in the same locality}

(c)R={(x,y):xis exactly7cm taller thany}

(d)R={(x,y):xis wife ofy}

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