Question

Relation R in the set A = { 1 , 2 , 3 , 4 } defined as R = {(x , y ) : y > x } is

a.Equivalence

b.symmetric but neither reflexive nor transitive.

c.reflexive,symmetric but not transitive.

d.transitive but neither reflexive nor symmetric.

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Answer 1

Answer:

d.transitive but neither reflexive nor symmetric

Step-by-step explanation:

R={(1,4),(2,4),(3,4),(1,3),(2,3),(1,2)}

(a,a)not element of R therefore not reflexive

(a,b) element of R,but (b,a) not element of R so not symmetric

(2,4),(3,4)are element of R and(2,4)is also element of R therefore it is transitive