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  3. negate each of the following mathematical statements and quotmovequot the...

Question: negate each of the following mathematical statements and quotmovequot the...

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Negate each of the following mathematical statements and "move" the ¬ symbol as far to the right as possible. Then rewrite negated statements in English.

a) \exists x \epsilon \mathbb{Z}, \forall y\epsilon \mathbb{Z}, x>y
b)\forall x \epsilon \mathbb{N}, \exists y\epsilon \mathbb{N},(x^2 <y)\Rightarrow (x <y)

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