First slide

Introduction to mathematical reasoning

Question

The statement $(p \lor ~ q) \land (~ p \lor ~ q)$ is logically equivalent to

Easy

A

$p$
B

$q$
C

$~ p$
D

$~ q$

Solution

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

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