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Write the negation of the following stat...

Write the negation of the following statement: `p :` For every positive real number `x` , the number `(x-1)` is also positive.

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Negation is:--For every positive real number `x` , the number `(x-1)` is not positive.
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Knowledge Check

  • The negation of the statement p : ''For every positive real number x, the number x - 1 is also positive'' is

    A
    there exists atleast one positive real number x for which (x -1) is not positive
    B
    for every positive real number x, the number (x +1) is also positive
    C
    Both (a) and (b)
    D
    Neither (a) nor (b)

  • Write the negation of the following statements : The number 2 is greater than 7.

    A
    `p:`The number 2 is not greater than 7
    B
    `~p :` The number 2 is less than or equal to 7
    C
    `~p :` It is false that the number 2 is grater than 7.
    D
    None of above

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