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Standard XII

Mathematics

Transitive Relations

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Question

Write the properties that the relation "is greter that" satisfies in the set of all positive integers

Reflexive

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Symmetric

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Antisymmetric

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Transitive

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Solution

The correct option is C Transitive
If in a relation, an element $a$ is related to $b$ , and $b$ is related to a third element $c$ , the relation $R$ is said to be transitive if $a$ is also related to $c$
Clearly, when $a > b$ and $b > c$ then $a$ $> c$
Hence, the relation is transitive.

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Write the properties that the relation "is greter that" satisfies in the set of all positive integers

The correct option is C TransitiveIf in a relation, an element a is related to b, and b is related to a third element c, the relation R is said to be transitive if a is also related to cClearly, when a>b and b>c then a >cHence, the relation is transitive.

The correct option is C Transitive
If in a relation, an element $a$ is related to $b$ , and $b$ is related to a third element $c$ , the relation $R$ is said to be transitive if $a$ is also related to $c$
Clearly, when $a > b$ and $b > c$ then $a$ $> c$
Hence, the relation is transitive.