The statement ((∼(p ⇔∼q))∧q ) is : | Mathematics | SolveeIt | Solveeit

Today, August 24

Question

The statement
$(∼(p ⇔∼q))∧q$
is :

A

A tautology

B

A contradiction

C

$Equivalent\ to\ (p⇒q)∧q$

D

$Equivalent\ to\ (p⇒q)∧p$

Answer

$Equivalent\ to\ (p⇒q)∧p$

Explanation

Solution

$∼(p⇔ ∼q)∧q$
$=(p⇔q)∧q$

Fig.

So, the correct option is (D): $Equivalent\ to\ (p⇒q)∧q$