With reference to a universal set, the inclusion of a subset in another, is relation, which is Options: A . &nbspSymmetric only B . &nbspEquivalence relation C . &nbspReflexive only D . &nbspNone of these

Answer: Option D : D Since A ⊆ A . ∴ Relation ′ ⊆ ′ is reflexive. Since A ⊆ B , B ⊆ C ⇒ A ⊆ C ∴ Relation ′ ⊆ ′ is transitive. But If A ⊆ B , Doesn't imply B ⊆ A , ∴ Relation is not symmetric

With reference to a universal set, the inclusion of a subset in another, is rela

Question

With reference to a universal set, the inclusion of a subset in another, is relation, which is

Options:

A . Symmetric only

B . Equivalence relation

C . Reflexive only

D . None of these

Answer: Option D
:
D
Since

A \subseteq A

∴

Relation

^{'} \subseteq^{'}

is reflexive.
Since

A \subseteq B, B \subseteq C \Rightarrow A \subseteq C

∴

Relation

^{'} \subseteq^{'}

is transitive.
But If

A \subseteq B

, Doesn't imply

B \subseteq A

∴

Relation is not symmetric

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