The expression - p - q is logically equivalent to -A- P - qB - - p - qC - - p - qD- p - q

Name: JEE- Grade 11- Mathematics- Mathematical Reasoning- Session 02- D04
Uploaded: 2022-07-04T10:36:42+05:30
Description: The correct option is C ∼ p ∧∼ q∼ (∼ p→ q) = ∼ (p∨ q) = ∼ p ∧ nbsp;∼ q ...

The correct option is C ∼ p ∧∼ q∼ (∼ p→ q) = ∼ (p∨ q) = ∼ p ∧ nbsp;∼ q ...

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Standard XII

Mathematics

Distributive Law

The expressio...

Question

The expression $\sim (\sim p \to q)$ is logically equivalent to :

p \land q

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p \land \sim q

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\sim p \land q

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\sim p \land \sim q

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Solution

The correct option is D $\sim p \land \sim q$
$\sim (\sim p \to q)$
$= \sim (p \lor q)$
$= \sim p \land \sim q$

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Distributive Law

Standard XII Mathematics

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The expression ∼(∼p→q) is logically equivalent to :

The correct option is D ∼p ∧∼q∼(∼p→q) = ∼(p∨q) = ∼p ∧∼q

The expression $\sim (\sim p \to q)$ is logically equivalent to :

The correct option is D $\sim p \land \sim q$
$\sim (\sim p \to q)$
$= \sim (p \lor q)$
$= \sim p \land \sim q$