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JAMIA 2022 Mathematics PYQ — If R is the largest equivalence relation on a set A and S is any … | Mathem Solvex | Mathem Solvex

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JAMIA 2022 — Mathematics PYQ

JAMIA | Mathematics | 2022

If R is the largest equivalence relation on a set A and S is any relation on A, then

Choose the correct answer:

A.
$R \subseteq S$
B.
$S \subseteq R$
(Correct Answer)
C.
R = S
D.
None

Correct Answer:

$S \subseteq R$

Explanation

Property

Since any relation $S$ on set $A$ is defined as a subset of $A \times A$ :

$S \subseteq A \times A$

Conclusion

$S \subseteq R$

Explanation

Property

Since any relation $S$ on set $A$ is defined as a subset of $A \times A$ :

$S \subseteq A \times A$

Conclusion

$S \subseteq R$

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