(( p → q ) ∧ ( ∼ p → q )) → q is logically equivalent to

(( p → q ) ∧ ( ∼ p → q )) → q ≡ ( ∼ p ∨ q ) ∧ ( p ∨ q ) → q ≡ ( ∼ p ∧ q ) ∨ q →≡ c ∨ q → q ≡ q → q ≡∼ q ∨ q ≡ t

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MathematicsMathematical ReasoningMathematical ReasoningMedium2 min

MathematicsMediumsingle choice

$((p \to q) \land (\sim p \to q)) \to q$ is logically equivalent to

Answer:

Solution:

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

$\equiv (\sim p \lor q) \land (p \lor q) \to q \equiv (\sim p \land q) \lor q \to\equiv c \lor q \to q \equiv q \to q \equiv\sim q \lor q \equiv t$

Stream:JEESubject:MathematicsTopic:Mathematical ReasoningSubtopic:Mathematical Reasoning

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