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Mathematical Reasoning
easy
The inverse of the proposition $(p\; \wedge \sim q) \Rightarrow r$ is
A
$\sim r \Rightarrow\;\sim p \vee q$
B
$\sim p \vee q \Rightarrow \;\sim r$
C
$r \Rightarrow p\; \wedge \sim q$
D
None of these
Solution
(b) Inverse of $p \Rightarrow q$ is $\sim p \Rightarrow \;\sim q$
inverse of $(p\; \wedge \sim q) \Rightarrow r$ is
$\sim (p\; \wedge \sim q) \Rightarrow \;\sim r$ i.e. $(\sim p \vee q) \Rightarrow \;\sim r$.
Standard 11
Mathematics
