We have given the set A= {1,2,3,4 }
The relation R is not reflexive, because R does not contain (1,1) and (4,4).
The relation R is not symmetric , because (2,4)∈R and (4,2)∈/R .
The relation R is not antisymmetric, because (2,3)∈R and (3,2)∈R , while 2=3 .
The relation R is transitive, because if (a,b)∈R and (b,c)∈R then we also note that (a,c)∈R
(2,2)∈Rand(2,3)∈R⟹(2,3)∈R(2,2)∈Rand(2,4)∈R⟹(2,4)∈R(2,3)∈Rand(3,2)∈R⟹(2,2)∈R(2,3)∈Rand(3,3)∈R⟹(2,3)∈R(2,3)∈Rand(3,4)∈R⟹(2,4)∈R(3,2)∈Rand(2,3)∈R⟹(3,3)∈R(3,2)∈Rand(2,4)∈R⟹(3,4)∈R(3,3)∈Rand(3,2)∈R⟹(3,2)∈R(3,3)∈Rand(3,3)∈R⟹(3,3)∈R(3,3)∈Rand(3,4)∈R⟹(3,4)∈R
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