First slide

Introduction to mathematical reasoning

Question

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

Easy

A

$p \land q$
B

$p$
C

$q$
D

$t$

Solution

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

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App