Which of the following is an example of a reflexive relation?1 pointThe "is a sibling of" relation.The "is greater than" relation on the set of natural numbers.The "is equal to" relation on the set of integers.The "is the square of" relation on the set of real numbers.
Question
Which of the following is an example of a reflexive relation?1 pointThe "is a sibling of" relation.The "is greater than" relation on the set of natural numbers.The "is equal to" relation on the set of integers.The "is the square of" relation on the set of real numbers.
Solution
To determine which of the given relations is reflexive, we need to check if every element in the set is related to itself.
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The "is a sibling of" relation: This relation is not reflexive because a person is not a sibling of themselves.
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The "is greater than" relation on the set of natural numbers: This relation is not reflexive because a natural number is not greater than itself.
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The "is equal to" relation on the set of integers: This relation is reflexive because every integer is equal to itself.
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The "is the square of" relation on the set of real numbers: This relation is not reflexive because not every real number is the square of itself.
Therefore, the only example of a reflexive relation among the given options is the "is equal to" relation on the set of integers.
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