The compound statement

Question:

The compound statement $(P \vee Q) \wedge(\sim P) \Rightarrow Q$ is equivalent to:

  1. $P \vee Q$

  2. $P \wedge \sim Q$

  3. $\sim(\mathrm{P} \Rightarrow \mathrm{Q})$

  4. $\sim(\mathrm{P} \Rightarrow \mathrm{Q}) \Leftrightarrow \mathrm{P} \wedge \sim \mathrm{Q}$


Correct Option: 1

Solution:

Using Truth Table

 

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