If A is a relation on a set R , then which one of the following is correct?

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If $\mathrm{A}$ is a relation on a set $\mathrm{R}$, then which one of the following is correct?

MathematicsSets and RelationsNDANDA 2013 (Phase 1)

Options:

A $\quad R \subseteq A$
B $\mathrm{A} \subseteq \mathrm{R}$
C $A \subseteq(R \times R)$
D $\quad \mathrm{R} \subseteq(\mathrm{A} \times \mathrm{A})$

Solution:

2612 Upvotes Verified Answer

The correct answer is: $A \subseteq(R \times R)$

Since A is a relation on a set $R$
$\therefore \mathrm{A} \subseteq(\mathrm{R} \times \mathrm{R})$

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