A) \[\tilde{\ }(p\vee q)\equiv p\vee \tilde{\ }q\]
B) \[(p\Rightarrow q)\equiv \,\,\tilde{\ }q\Rightarrow \,\tilde{\ }p\]
C) \[\tilde{\ }(p\Rightarrow q)\equiv p\wedge \tilde{\ }q\]
D) \[\tilde{\ }(p\vee q)\equiv \,\tilde{\ }p\,\wedge \tilde{\ }q\]
Correct Answer: C
Solution :
[c] lf \[p\Rightarrow q\equiv \,\sim p\vee q\] \[\sim (p\Rightarrow q)\equiv p\vee \sim q\] It means \[p\Leftrightarrow q\equiv (p\Rightarrow q)\wedge (q\Rightarrow p)\]
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