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The statement ~(pharr~q) is -...

The statement `~(pharr~q)` is -

A

equivalent to `pharrq`

B

equivalent to `~p harrrq`

C

a tautology

D

a fallacy

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If p and q are two component statement then the negation of the compound statement phArrq is -

    A
    `~(p^^q)vv(q^^p)`
    B
    `(p^^~q)^^(q^^~p)`
    C
    `(p^^q)vv(q^^~p)`
    D
    `(p^^~q)vv(q^^~p)`

  • Let p and q be two component statement of the compound statement phArrq . If the truth value of phArrq be " T" then the truth value of p and q are respectively -

    A
    T , F
    B
    F , T
    C
    F ,F
    D
    none of these

  • In each of the statements pto~q~rtoq and p is true, then

    A
    r is false
    B
    r is true
    C
    q is true
    D
    none of these

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    Prove that for any two statements p and q the statements ~(pharr~q)andpharrq are equivalent.

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    Consider the statements p , q and r Statement - I : Negation of statement p^^(qvvr) " is " ~pvv(~q^^~r) Statement - II : Negation of pvvq" is "(~p)^^(~q), and " negation of "p ^^q " is " (~p)vv(~q)

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