$(p\rightarrow q) \leftrightarrow (q \vee  ~ p)$ is

  • A

    equivalent to $p  \wedge  q$

  • B

    Tautology

  • C

    Fallacy

  • D

    Neither tautology nor fallacy

Similar Questions

Let $r \in\{p, q, \sim p, \sim q\}$ be such that the logical statement $r \vee(\sim p) \Rightarrow(p \wedge q) \vee r \quad$ is a tautology. Then ' $r$ ' is equal to

  • [JEE MAIN 2022]

Which of the following is always true

If $p, q, r$ are simple propositions with truth values $T, F, T$, then the truth value of $(\sim p \vee q)\; \wedge \sim r \Rightarrow p$ is

Which one of the following Boolean expressions is a tautology?

  • [JEE MAIN 2019]

The statement $p → (p \leftrightarrow  q)$ is logically equivalent to :-