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Question
Construct the truth table of the following:
[(∼p ∨ q) ∧ (q → r)] → (p → r)
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Solution
| p | q | r | ∼p | ∼p ∨ q | q→r | (∼p∨q) ∧ (q→r) | p→r | [(∼p∨q) ∧ (q→r)] → (p→r) |
| T | T | T | F | T | T | T | T | T |
| T | T | F | F | T | F | F | F | T |
| T | F | T | F | F | T | F | T | T |
| T | F | F | F | F | T | F | F | T |
| F | T | T | T | T | T | T | T | T |
| F | T | F | T | T | F | F | T | T |
| F | F | T | T | T | T | T | T | T |
| F | F | F | T | T | T | T | T | T |
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