The logical statement

Question:

The logical statement $(p \Rightarrow q)^{\wedge}(q \Rightarrow \sim p)$ is equivalent to:

  1. (1) $p$

  2. (2) $q$

  3. (3) $\sim P$

  4. (4) $\sim q$


Correct Option: , 3

Solution:

Clearly $(p \Rightarrow q) \wedge(q \Rightarrow \sim p)$ is equivalent to $\sim p$

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