The inverse of the propositions p - q - r is-

The correct option is A (∼ r) → (∼ p) ∨ q In logic, an #160;inverse #160;is a type of #160;conditional sentence #160;which is an immediate interfe ...

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Standard XII

Mathematics

Negation

The inverse o...

Question

The inverse of the propositions $(p \land \sim q) \to r$ is____.

(\sim r) \to (\sim p) \lor q

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(\sim p) \lor q \to (\sim p)

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r \to p \lor (\sim q)

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(\sim p) \land (\sim q) \to r

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Solution

The correct option is A $(\sim r) \to (\sim p) \lor q$
In logic, an inverse is a type of conditional sentence which is an immediate interference made from another conditional sentence. Any conditional sentence has an inverse. The inverse of $P \to Q i s \neg P \to \neg Q$
Hence, answer is (∼r) $\to$ (∼p) ∨ q

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The inverse of the propositions (p∧∼q)→r is____.

The correct option is A (∼r)→(∼p)∨qIn logic, an inverse is a type of conditional sentence which is an immediate interference made from another conditional sentence. Any conditional sentence has an inverse. The inverse of P→Qis¬P→¬QHence, answer is (∼r) → (∼p) ∨ q

The inverse of the propositions $(p \land \sim q) \to r$ is____.