Mathematical Reasoning
normal

The conditional $(p \wedge q)  \Rightarrow  p$ is :-

A

A tautology

B

A fallacy i.e., contradiction

C

Neither tautology nor fallacy

D

None of these

Solution

$p$ $q$ ${p \wedge q}$ ${\left( {p \wedge q} \right) \Rightarrow p}$
$T$ $T$ $T$ $T$
$T$ $F$ $F$ $T$
$F$ $T$ $F$ $T$
$F$ $F$ $F$ $T$

${\therefore \left( {p \wedge q} \right) \Rightarrow p}$ is a tautology.

Standard 11
Mathematics

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