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  4. The contrapositive of (. p ∨ q .) ⇒ r is

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Q. The contrapositive of $\left(\right. p \lor q \left.\right) \Rightarrow r$ is

NTA AbhyasNTA Abhyas 2020Mathematical Reasoning

Solution:

Contrapositive of $p \Rightarrow q$ is $\sim q \Rightarrow \, \sim p$
∴contrapositive of $\left(\right. p \lor q \left.\right) \Rightarrow r$ is $\sim r \Rightarrow \, \sim \left(\right. p \lor q \left.\right)$ i.e. $\sim r \Rightarrow \left(\right. \sim p \, \land \sim q \left.\right)$ .