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Construct the truth table for the negation of a conjunction, (p q).

Mathematics

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Step-by-step solution

3 steps

  1. List all possible truth values for pp and qq.

  2. Determine the truth values for the conjunction p∧qp \land q.

  3. Determine the truth values for the negation ¬(p∧q)\neg (p \land q).

    The truth table is as follows:

    pqp∧q¬(p∧q)TTTFTFFTFTFTFFFT\begin{array}{|c|c|c|c|} \hline p & q & p \land q & \neg (p \land q) \\ \hline T & T & T & F \\ T & F & F & T \\ F & T & F & T \\ F & F & F & T \\ \hline \end{array}
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