First slide

Introduction to mathematical reasoning

Question

The conditional statement $p \land q \Rightarrow p$ is

Moderate

A

a tautology
B

a contradiction
C

neither tautology nor contradiction
D

None of these

Solution

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

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