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Questions  

Let R={(x,y):x,yA,x+y=5} where

A={1, 2, 3, 4, 5} then

a
R is not reflexive, symmetric and not transitive
b
R is an equivalence relation
c
R is reflexive, symmetric but not transitive
d
R is not reflexive, not symmetric but transitive

detailed solution

Correct option is A

R={(1,4), (4,1), (2,3), (3,2)} so R is not reflexive as (1,1)∉R⋅R is symmetric by definition and R isnot transitive as (1,4)∈R,(4,1)∈R but (1,1)∉R.

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