The proposition p Rightarrow sim (p wedge sim | vedclass

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Question

(D) To determine the nature of the proposition $p \Rightarrow \sim (p \wedge \sim q)$,we construct its truth table:$p$$q$$\sim q$$p \wedge \sim q$$\si

Vedclass · Accepted Answer

Neither $(a)$ nor $(b)$

Vedclass · Answer

(D) To determine the nature of the proposition $p \Rightarrow \sim (p \wedge \sim q)$,we construct its truth table:$p$$q$$\sim q$$p \wedge \sim q$$\sim (p \wedge \sim q)$$p \Rightarrow \sim (p \wedge \sim q)$$T$$T$$F$$F$$T$$T$$T$$F$$T$$T$$F$$F$$F$$T$$F$$F$$T$$T$$F$$F$$T$$F$$T$$T$Since the final column contains both $T$ and $F$,the proposition is neither a tautology nor a contradiction. Thus,the correct option is $(d)$.

The proposition $p \Rightarrow \sim (p \wedge \sim q)$ is

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