First slide

Introduction to mathematical reasoning

Question

$The negation of the compound proposition p \lor (~ p \lor q) i s$

Moderate

A

$(p \land ~ q) \land ~ p$
B

$(p \land ~ p) \lor ~ q$
C

$(p \land ~ q) \lor ~ p$
D

$(p \land ~ q) \lor ~ q$

Solution

$\begin{array}{l} If ~ [p \lor (~ p \lor q)] = ~ p \land ~ (~ p \lor q) \\ ~ p \land (~ (~ p) \land ~ q) \\ ~ p \land (p \land ~ q) \end{array}$

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