Which of following is logically equivalent to ∼(∼ p ⇒ q)

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Mathematical Reasoning

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Which of the following is logically equivalent to $\sim(\sim p \Rightarrow q)$

A

$p \wedge q$

B

$p \wedge \sim q$

C

$\sim p\ \wedge q$

D

$\sim p\; \wedge \sim q$

Solution

(d) Since $\sim (p \Rightarrow q) \equiv p\; \wedge \sim q$

$\sim(\sim p \Rightarrow q) = \;\sim p\; \wedge \sim q$

Standard 11

Mathematics

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