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Question
Construct the truth table of the following statement pattern.
∼ p ∧ [(p ∨ ∼ q) ∧ q]
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Solution
| p | q | ∼ p | ∼ q | p ∨ ∼ q | (p ∨ ∼ q) ∧ q | ∼ p ∧ [(p ∨ ∼ q) ∧ q] |
| T | T | F | F | T | T | F |
| T | F | F | T | T | F | F |
| F | T | T | F | F | F | F |
| F | F | T | T | T | F | F |
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Using truth table prove that:
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