The statement $B \Rightarrow((\sim A ) \vee B )$ is equivalent to

  • [JEE MAIN 2023]
  • A

    $B \Rightarrow( A \Rightarrow B )$

  • B

    $A \Rightarrow( A \Leftrightarrow B )$

  • C

    $A \Rightarrow((\sim A ) \Rightarrow B )$

  • D

    $B \Rightarrow((\sim A ) \Rightarrow B )$

Similar Questions

Which of the following is the negation of the statement "for all $M\,>\,0$, there exists $x \in S$ such that $\mathrm{x} \geq \mathrm{M}^{\prime \prime} ?$

  • [JEE MAIN 2021]

If the truth value of the Boolean expression $((\mathrm{p} \vee \mathrm{q}) \wedge(\mathrm{q} \rightarrow \mathrm{r}) \wedge(\sim \mathrm{r})) \rightarrow(\mathrm{p} \wedge \mathrm{q}) \quad$ is false then the truth values of the statements $\mathrm{p}, \mathrm{q}, \mathrm{r}$ respectively can be:

  • [JEE MAIN 2021]

$\sim (p \vee q)$ is equal to

Which of the following is not a statement

Consider the following three statements :
$P : 5$ is a prime number.
$Q : 7$ is a factor of $192$.
$R : L.C.M.$ of $5$ and $7$ is $35$.
Then the truth value of which one of the following statements is true?

  • [JEE MAIN 2019]