First slide

Introduction to mathematical reasoning

Question

If p,q and r are simple propositions with truth value true, false and true respectively, then the truth value of $((~ p \lor q) \land ~ r) \Rightarrow p$

Easy

A

true
B

False
C

true , if r is false
D

true, if q is true

Solution

$\begin{matrix} Let S : ((~ p \lor q) \land ~ r) \Rightarrow p \\ \Rightarrow S : ((~ T \lor F) \land ~ T) \Rightarrow T \end{matrix}$

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