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Question
The logical statement (∼p → q) ∧ (q → p) is equivalent to: ______
Options
p
∼q
q
∼p
MCQ
Fill in the Blanks
Solution
The logical statement (∼p → q) ∧ (q → p) is equivalent to p
Explanation:
(∼p → q) ∧ (q → p)
| p | q | ∼p | ∼p → q | q → p | (∼p → q) ∧ (q → p) |
| T | T | F | T | T | T |
| T | F | F | T | T | T |
| F | T | T | T | F | F |
| F | F | T | F | T | F |
∴ (p → q) ∧ (p → ∼q) = p
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