Rewrite each of the following statements so that no negation is outside a quantifier or an expression involving logical operations. a.~ ~(VxSyET P(x, y)). T P(x, y)). b.~ (VxSy C. ~ (VxSVy d. ~ T (P(x, y) VQ(x, y))). (3r ES y T~ P(x, y) AV € SVy E T, Q(x, y)). e. ~ VES (Ey € TV z € L P(x, y, z) A32 € LVy € S, P(x, y, z)).

Q: positions using Rules of Logical Equivalences. Do not forget to indic (pA q) (p → q)

A: INTRODUCTION: The formula of logical equivalence is given by, p→q⇔~p∨q~(p∧q)⇔~p∨~qp∨p⇔p

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Q: 2. Show that (p ^ (p V q)) →q is a tautology using logical equivalences.

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Q: Which of the following is the negation of the statement VERY ENVz € Q (3x + 2y = z) - ·(x + y<z)

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Q: 31. Express the negations of each of these statements so that all negation symbols immediately…

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