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Mathematics
Which of the following is always true ?
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Q. Which of the following is always true ?
Mathematical Reasoning
A
$(p \Rightarrow q) \equiv \sim q \Rightarrow \sim p$
33%
B
$\sim (p \wedge q) \equiv \vee p \vee \sim q$
21%
C
$\sim (p \Rightarrow q) \equiv p \wedge \sim q$
21%
D
$\sim (p \vee q) \equiv \sim p \wedge \sim q$
25%
Solution:
$p \Rightarrow q \equiv \sim p \vee \, \, \, \therefore \, \sim (p \Rightarrow q) \equiv p \wedge ~ q$