With reference to a universal set, the inclusion of a subset in another, is relation, which is Options: A . &nbsp Symmetric only B . &nbsp Equivalence relation C . &nbsp Reflexive only D . &nbsp None of these

Answer: Option D : D Since A ⊆ A . ∴ Relation ' ⊆ ' is relfexive Since A ⊆ B , B ⊆ C ⇒ A ⊆ C ∴ Relation ' ⊆ ' is transitive. But A ' ⊆ ' B , ⇒ B ⊆ A . ∴ relation is not symmetric.

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

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 relfexive

Since A $\subseteq$ B , B $\subseteq$ C $\Rightarrow$ A $\subseteq$ C

$∴$ Relation ' $\subseteq$ ' is transitive.

But A ' $\subseteq$ ' B , $\Rightarrow$ B $\subseteq$ A . $∴$ relation is not symmetric.

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