First slide

Introduction to mathematical reasoning

Question

$Logical equivalent of p \to (p \lor q) is$

Easy

A

$~ p \land ~ q$
B

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

$q \to (p \to q)$
D

$p \to ~ q$

Solution

From truth table
$\begin{matrix} \begin{matrix} \begin{matrix} \end{matrix} \end{matrix} \end{matrix}$ $\begin{matrix} p & q & p \lor q & p \to (p \lor q) & q \to (p \to q) \\ T & T & T & T & T \\ T & F & T & T & T \\ F & T & T & T & T \\ F & F & F & T & T \end{matrix}$

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