First slide

Introduction to mathematical reasoning

Question

$T h e i n v e r s e o f t h e s t a t e m e n t$ $(p \land ~ q) \to r is$

Moderate

A

$~ (p \lor ~ q) \to ~ r$
B

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

$(~ p \lor q) \to ~ r$
D

None of these

Solution

$\begin{matrix} The inverse of the proposition (p \land ~ q) \to r is \\ ~ (p \land ~ q) \to ~ r \equiv ~ p \lor ~ (~ q) \to ~ r \\ \equiv ~ p \lor q \to ~ r \end{matrix}$

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