The statement $\sim(p \leftrightarrow \sim q)$ is

The statement $\sim(p \leftrightarrow \sim q)$ is
  1. equivalent to $\mathrm{p} \leftrightarrow \mathrm{q}$
  2. a fallacy
  3. a tautology
  4. equivalent to $\sim \mathrm{p} \leftrightarrow \mathrm{q}$

Solution


The entries in the columns 5 and 6 are identical. $\therefore \quad \sim(\mathrm{p} \leftrightarrow \sim q) \equiv p \leftrightarrow q$

Asked in: MHT CET 2024 (16 May Shift 2)

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