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Construct the truth table of the following statement pattern.
[(p → q) ∧ q] → p
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Solution
Here are two statements and three connectives.
∴ There are 2 × 2 = 4 rows and 2 + 3 = 5 columns in the truth table.
| p | q | p → q | (p → q) ∧ q | [(p → q) ∧ q] → p |
| T | T | T | T | T |
| T | F | F | F | T |
| F | T | T | T | F |
| F | F | T | F | T |
Concept: Logical Connective, Simple and Compound Statements
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