Which of the following is the negation of the predicate below? P(x,y): ‘‘(x2>y)∧(x<2∨y≥0)∧(xy≤−1)″?

A. P(x,y): ‘‘(x2>y)∨(x<2∧y≥0)∨(xy≤−1)″

B. P(x,y): ‘‘(x2≥y)∧(x≤2∨y<0)∧(xy>−1)″

C. P(x,y): ‘‘(x2≤y)∨(x≥2∧y<0)∨(xy>−1)″

D. None of the above

Update:

*This is Discrete Math

1 Answer

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  • ?
    Lv 7
    3 years ago
    Favourite answer

    If we use an apostrophe to signal negation, then

    .. P'(x, y) = (x2>y)'∨(x<2∨y≥0)'∨(xy≤−1)'

    .. = (x2≤y)∨(x≥2∧y<0)∨(xy>−1) . . . . . . . ∧ and ∨ are swapped; inequalities are reversed

    .. .. .. .. selection C

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