Contrapositive of (p vee q) ⇒ r is

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Mathematical Reasoning

easy

The contrapositive of $(p \vee q) \Rightarrow r$ is

A

$r \Rightarrow (p \vee q)$

B

$\sim r \Rightarrow (p \vee q)$

C

$\sim r \Rightarrow \;\sim p\; \wedge \sim q$

D

$p \Rightarrow (q \vee r)$

Solution

(c) Contrapositive of $p \Rightarrow q$ is $\sim q \Rightarrow \;\sim p$

contrapositive of $(p \vee q) \Rightarrow r$ is

$\sim r \Rightarrow \;\sim (p \vee q)$ i.e. $\sim r \Rightarrow (\sim p\; \wedge \sim q)$.

Standard 11

Mathematics

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