Q.
Let R be a relation on R defined as a R b if a≤b. Then, relation R is
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a
reflexive
b
symmetric
c
transitive
d
not antisymetric
answer is C.
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Detailed Solution
If a=-1 than a is not related to a. So R is not reflexive. If a=-1, b=2 then a≤bbut b>a, so R is not symmetric. If a≤b and b≤c then a≤bb≤c so a≤c, hence a is related to c. Thus R is transitive. If a≤b, and b≤c then a≤a≤b≤b≤a. So a=b, R is anti symmetric.
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