- p - q is equivalent to p - q

The correct option is A TrueAs we know that #160;the bi conditional #160; proposition is equivalent to the conjunction of a conditional proposition an its ...

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Byju's Answer

Standard XII

Physics

Vector Addition

∼ p ↔∼ q is...

Question

$\sim (p \leftrightarrow\sim q) is equivalent to p \leftrightarrow q$

True

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False

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Solution

The correct option is A True
As we know that
the bi-conditional proposition is equivalent to the conjunction of a conditional proposition an its converse.
$p \leftrightarrow q \equiv (p \to q) \land (q \to p)$
hence the following statement is true.

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Similar questions

Q. Assertion :

\sim (p \leftrightarrow q) \equiv (p \land q) \lor (\sim p \land q)

Reason:

p \leftrightarrow q \equiv (p \leftrightarrow q) \lor (q \leftarrow p)

Q. Prepare truth table of the following statement patterns.
(i)

\sim p \to (q \leftrightarrow p)

(ii)

(q \leftrightarrow p) \lor (\sim p \leftrightarrow q)

(iii)

p \leftrightarrow [\sim (q \lor r)]

Q. statement patterns
(i)

[(p \to q) \land q] \to p

(ii)

(p \land q) \to\sim p

(iii)

(p \to q) \leftrightarrow (\sim p \lor q)

(iv)

(p \leftrightarrow r) \land (q \leftrightarrow p)

Q. Statement 1:

\sim (p \leftrightarrow\sim q)

is equivalent to

p \leftrightarrow q

Statement 2

:\sim (p \leftrightarrow\sim q)

is a tautology

Q. Statement - 1:

\sim (p \leftrightarrow\sim q)

is equivalent to

p \leftrightarrow q

.
Statement - 2:

\sim (p \leftrightarrow\sim q)

is a tautology.

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∼(p↔∼q) is equivalent to p↔q

The correct option is A TrueAs we know that the bi-conditional proposition is equivalent to the conjunction of a conditional proposition an its converse. p↔q≡(p→q)∧(q→p)hence the following statement is true.

$\sim (p \leftrightarrow\sim q) is equivalent to p \leftrightarrow q$

The correct option is A True
As we know that
the bi-conditional proposition is equivalent to the conjunction of a conditional proposition an its converse.
$p \leftrightarrow q \equiv (p \to q) \land (q \to p)$
hence the following statement is true.