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The statement p rarr ( q rarr p ) is e...

The statement p ` rarr ( q rarr p ) ` is equivalent

A

`p rarr ( p rarr q ) `

B

`p rarr ( p vee q) `

C

` p rarr (p ^^ q )`

D

`p rarr ( p harr q )`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The statement p rarr (q vee r ) is not equivalent to

    A
    `(p rarr q ) vee ( p rarr r ) `
    B
    `p ^^ (~q) rarr r`
    C
    `p ^^ (~ r) rarr ` q
    D
    `p ^^ q rarr ( p ^^ r) vee ( q ^^ r)`

  • If p and q are logical statements, then p rArr (~q rArr p) is equivalent to

    A
    `prArr(prArrq)`
    B
    `p rArr (p^^q)`
    C
    `prArr (p^^q)`
    D
    `p rArr (phArr q)`

  • Let p.q and r be three statements, then (~prarrq)rarr r is equivalent to

    A
    `(~pvvr)^^(qvvr)`
    B
    `(prarr r)^^(q rarr r)`
    C
    `(~p ^^ r)vv(q vv r)`
    D
    `(prarr q)rarr r`

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