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The less-than relation, <, on reals is

1. a partial ordering since it is asymmetric and reflexive

2. a partial ordering since it is antisymmetric and reflexive

3. not a partial ordering because it is not asymmetric and not reflexive

4. not a partial ordering because it is not antisymmetric and reflexive

5. none of the above

relation less than is :
a. not Reflexive
b. Irreflexivew
b. not symmetric
c. Asymmetric
d. Anti symmetric

relation is not POSET because it is irreflexive.
check AntiSymmetry..
aRb != bRa unless a=b.

A relation may be 'not Asymmetric and not reflexive' bt still Antisymmetric.
as {(1,1) (1,2)}

not Asymmetric and Irreflexive = Antisymmetric
Option E
selected
given relation is not Poset and reason it it is not reflexive..
it has nothing to do with asymmetry.
+1 vote

Since  "<" relation neither reflexive nor patialy ordering on set of real number.

But it is anti Symmetric relation.Therefor Option E will be appropriate option for it.

Can you explain how it is anti symmeteric?

+1 vote
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