Computer Science · Discrete Mathematics
Let P denote 'She is intelligent' and let Q denote 'She is happy.' Given below are some statements: (a) If she is intelligent, then she is happy. (b) She is neither intelligent nor happy. (c) It is necessary to be intelligent in order to be happy. (d) To be not intelligent is to be unhappy. Which of the following is the correct propositional expression sequence for the statements (a), (b), (c), and (d) respectively?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1P → Q; P ∧ ¬Q; Q → P; ¬P → ¬Q
- 2P → Q; ¬P ∧ ¬Q; Q → P; ¬P → ¬Q✓
- 3P → Q; ¬P ∧ ¬Q; ¬Q → P; ¬P → ¬Q
- 4P → Q; P ∧ ¬Q; Q → P; P → ¬Q
Correct answer
P → Q; ¬P ∧ ¬Q; Q → P; ¬P → ¬Q
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