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Unit 1 · Discrete Structures and Optimization Paper 2 CS · December 2022 Shift 1

Which of the following is NOT logically equivalent to P → Q?

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: D. ~Q → P

Explanation

P → Q ≡ ~P ∨ Q ≡ ~Q → ~P (contrapositive) ≡ ~(P ∧ ~Q). ~Q → P is equivalent to P ∨ Q instead.

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