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  • Which of the following set notation represents the logical operator "if and only if" in a truth table?Option: 1 Symmetric Differe

Which of the following set notation represents the logical operator "if and only if" in a truth table?

Option: 1

Symmetric Difference (Δ)


Option: 2

Subset (⊆)


Option: 3

Set Equality (≡)


Option: 4

Power Set (P)


Answers (1)

best_answer

Option (C) is correct as in set notation, the equality of two sets represents the logical operator "if and only if". In a truth table, the "if and only if" operator is represented by the bi-conditional of two propositions, where the outcome is true only if both propositions have the same truth value. 

Option (A) is incorrect as in set notation, the symmetric difference of two sets represents the logical operator "exclusive or". In a truth table, the "exclusive or" operator is represented by a disjunction of two propositions, where the outcome is true only if one of the propositions is true but not both. 

Option (B) is incorrect as the subset (⊆) represents the relationship between sets where one set is a subset of another. It is not related to any logical operator in a truth table. 

Option (D) is incorrect as the power set (P) represents the set of all subsets of a given set. It is not directly related to any logical operator in a truth table.

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shivangi.shekhar

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