The statement - p- q q is -

nbsp; p q ∼ q p↔∼ q ∼ (p↔∼ q) ∼ p(↔∼ q) q (p→ nbsp;q) q (p→ nbsp;q) p T T F F T T T T ...

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Standard XII

Mathematics

Logical Connectives

The statement...

Question

The statement $(\sim (p \Leftrightarrow\sim q) \land q$ is :

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Solution

$p$ $q$ $\sim q$ $p \leftrightarrow\sim q$ $\sim (p \leftrightarrow\sim q)$ $\sim p (\leftrightarrow\sim q) \land q$ $(p \to q) \land q$ $(p \to q) \land p$

$T$ $T$ $F$ $F$ $T$ $T$ $T$ $T$

$T$ $F$ $T$ $T$ $F$ $F$ $F$ $F$

$F$ $T$ $F$ $T$ $F$ $F$ $T$ $F$

$F$ $F$ $T$ $F$ $T$ $F$ $F$ $F$

$∴ (\sim (p \Leftrightarrow\sim q)) \land q$ is equivalent to $(p \Rightarrow q) \land p$ .

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Similar questions

If $\frac{{(p + \frac{1}{q})}^{p - q} {(p - \frac{1}{q})}^{p + q}}{{(q + \frac{1}{p})}^{p - q} {(q - \frac{1}{p})}^{p + q}} = {(\frac{p}{q})}^{x}, then x =_________.$

Question 5(a)
Add :p ( p - q ), q (q - r ) and r (r - p ).

Q. Factors of

(p - q)^{3} + (q - r)^{3} + (r - p)^{3}

are:

Q. Divide :

52 p q r (p + q) (q + r) (r + p) \div 104 p q (q + r) (r + p)

The factors of $(p - q)^{3} + (q - r)^{3} + (r - p)^{3}$ are:

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$p$	$q$	$\sim q$	$p \leftrightarrow\sim q$	$\sim (p \leftrightarrow\sim q)$	$\sim p (\leftrightarrow\sim q) \land q$	$(p \to q) \land q$	$(p \to q) \land p$
$T$	$T$	$F$	$F$	$T$	$T$	$T$	$T$
$T$	$F$	$T$	$T$	$F$	$F$	$F$	$F$
$F$	$T$	$F$	$T$	$F$	$F$	$T$	$F$
$F$	$F$	$T$	$F$	$T$	$F$	$F$	$F$

The statement (∼(p⇔∼q)∧q is :

p q ∼q p↔∼q ∼(p↔∼q) ∼p(↔∼q)∧q (p→q)∧q (p→q)∧p T T F F T T T T T F T T F F F F F T F T F F T F F F T F T F F F ∴(∼(p⇔∼q))∧q is equivalent to (p⇒q)∧p.

The statement $(\sim (p \Leftrightarrow\sim q) \land q$ is :