A) \[p\vee (p\vee \tilde{\ }q)\]
B) \[p\to \tilde{\ }(p\vee q)\]
C) \[p\to q\]
D) \[p\tilde{\ }\wedge q\]
Correct Answer: D
Solution :
[d]:\[p\to (\tilde{\ }p\vee q)\equiv (\tilde{\ }p)\vee ((\tilde{\ }p)\vee q)\] \[\equiv ((\tilde{\ }p)\vee (\tilde{\ }p))\vee q\equiv )(\tilde{\ }p)\vee q\] Now, the negation of the given expression \[\equiv \tilde{\ }((\tilde{\ }p)\vee q)\equiv \tilde{\ }(\tilde{\ }p)\wedge (\tilde{\ }q)\equiv p\wedge (\tilde{\ }q)\]
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