Statements -1 : ~(pharr~q) is equivalent...

Statements -1 : `~(pharr~q)` is equivalent to `p harr q`
Statement-2: `(~ p harr ~q)` is a tautology.

A

Statement-1 is true, statement 2 is true, statement 2 is a correct explanation for statement 1

B

Statement 1 is true, statement-2 is true, statement 2 is not a correct explanation for statement 1

C

Statement 1 is true , statement 2 is false,

D

statement 1 is false, statement 2 is true

Text Solution

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The correct Answer is:

C

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The statement ~(pharr~ q) is (1) equivalent to pharrq (2) equivalent to ~ pharrq (3) a tautology (4) a fallacy

The statement ~(p harr ~q) is

Knowledge Check

~(p harr q) is equivalent to

A

`~(p harr q) vv (q ^^ ~p)`

B

`(p vv ~q) ^^ (q vv ~ q)`

C

`(p to q) ^^ ( q to p)`

D

`(q to p ) vv ( p to q)`

Statement-1 : ~(p hArr ~q) is equivalent to p hArr q . Statement-2 : ~( p hArr q) is a tautology.

A

Statement-1 is true, statement-2 is true, statement-2 is correct explanation for statement-1

B

Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1

C

Statement-1 is true, statement-2 is false

D

Statement-1 is false. statement-2 is true

Statement-1 : ~ (p hArr ~ q) is equivalent to p hArrq. Statement-2: ~ (p hArr q) is a tautology

A

Statemetn-1 is true, Statement-2 is true, Statemetn-2 is not a correct explanation for Statement-1

B

Statement-1 is treu, Statement-2 is false

C

Statement-1 is false Statement-2 is true

D

Statemene-1 is true, Statement-2 is true Statemetn-2 is a correct explanation for Statement-1

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