Let R=1, 3, 4, 2, 2, 4, 2, 3, 3, 1 be a relation on the set A=1, 2, 3, 4. The relation R is
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a
Reflexive
b
Transitive
c
Not symmetric
d
A function
answer is C.
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Detailed Solution
Given A=1, 2, 3, 4R=1, 3, 4, 2, 2, 4, 2, 3, 3, 12, 3∈R but 3, 2∉R. Hence R is not symmetric.R is not reflexive as 1, 1∉R.R is not a function as 2, 4∈R and 2, 3∈R.R is not transitive as (1, 3)∈R and 3, 1∈R but 1, 1∉R.