If p, q, r are simple propositions with truth values T, F, T , then truth value of (∼ p vee q) wed

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Mathematical Reasoning

easy

If $p, q, r$ are simple propositions with truth values $T, F, T$, then the truth value of $(\sim p \vee q)\; \wedge \sim r \Rightarrow p$ is

A

true

B

false

C

True if $r$ is false

D

True if $q$ is true

Solution

(a) $\sim p \vee q$ means $F \vee F = F, \sim r$ means $F(\sim p \vee q) \wedge \sim r$ means $F$

$[(\sim p \vee q)\; \wedge \sim r] \Rightarrow p$ means $T$

[ in $p \Rightarrow q$ we have $FTT$]

Standard 11

Mathematics

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