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The statement ~ (p ^^ q) vee q) :...

The statement `~ (p ^^ q) vee q)` :

A

is a tautology

B

is equivalent to `(p ^^ q) vee ~q`

C

is equivalent to `p vee q `

D

is a contradiction

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • For any two statements p and q, the statement ~(p ^^ q) vee (~p ^^ q) is equivalent to

    A
    ~p
    B
    p
    C
    q
    D
    p `^^` q

  • The statement (~p ^^ q) vv ~ q is equivalent

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

  • The statement: ~((~p wedge q) vee (p wedge ~ q) vee ( p vee q)) is equivalent to

    A
    `p vee q`
    B
    `~p wedge ~ q`
    C
    `~p vee ~q`
    D
    `p wedge q`

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