If p : A man is happy
q : A man is rich
Then, the statement, "If a man is not happy, then he is not rich" is written as

\sim p \to\sim q

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\sim q \to p

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\sim q \to\sim p

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q \to\sim p

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Solution

The correct option is A $\sim p \to\sim q$
Given, p : A man is happy
and q : A man is rich
'If a man is not happy, then he is not rich' is written as $\sim p \to\sim q$ .

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$p \to\sim q$ can also be written as

p

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(p \land \sim q) \land (\sim p \land q)

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