The subset relation defined on a power set is:
2015
The subset relation defined on a power set is:
- A.
Reflexive and symmetric only
- B.
Equivalence relation
- C.
Irreflexive and transitive only
- D.
Partial ordered relation
- E.
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Correct answer: D
Subset relation ⊆ on a power set satisfies:
Reflexive: A⊆A
Antisymmetric: A⊆B A⊆B and B⊆A⇒A=B B⊆A⇒A=B
Transitive: A⊆B,B⊆C⇒A⊆C then A⊆C