If $p: A$ man is happy, $q: A$ man is rich, then the symbolic form of ' $A$ man is neither happy nor rich' is

If $p: A$ man is happy, $q: A$ man is rich, then the symbolic form of ' $A$ man is neither happy nor rich' is
  1. $\sim p \wedge q$
  2. $\sim p \vee \sim q$
  3. $p \vee q$
  4. $\sim(p \vee q)$

Solution

A man is neither happy nor rich $\equiv$ (Man is not happy) and (Man is not rich) $\equiv \sim P \wedge \sim q$ $\equiv \sim(P \vee q)$

Asked in: MHT CET 2022 (08 Aug Shift 1)

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