First slide

Introduction to mathematical reasoning

Question

If $p, q$ are two statements, then $~ (~ p \land q)$ $\land (p \land q)$ is logically equivalent to

Moderate

A

p
B

q
C

$p \land q$
D

$(~ p) \lor q$

Solution

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

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