Discrete Mathematics · Problem type

Build a truth table

Use this for “Is ¬q → ¬p equivalent to p → q? Build the truth table.”

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pq¬pp → qTTFTTFFFFTTTFFTT
p → q is false only when p is true and q is false: the second row.

Assumptions

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Each row is one choice of true (T) or false (F) for p and q; two variables make 4 rows.
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Work out the inner parts first, a column each, then the whole statement.
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Two statements are equivalent when their columns agree in every row.
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