First slide

Introduction to mathematical reasoning

Question

$The proposition p \to ~ (p \land ~ q) is equivalent to:$

Moderate

A

$(~ p) \lor q$
B

$(~ p) \land q$
C

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

q

Solution

$\begin{array}{l} \equiv p \Rightarrow (~ (p \land ~ q)) \\ ~ p \lor (~ (p \land ~ q)) \\ \equiv ~ p \lor (~ p \lor q) \\ \equiv ~ p \lor q \end{array}$

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