Let the universe for the variables in the following statements consist of all real numbers. In each

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Let the universe for the variables in the following statements consist of all real numbers. In each case negate and simplify the given statement.
(a) ∀x ∀y [(x > y) → (x - y > 0)]
(b) ∀x ∀y [(x < y) → ∃z (x < z < y)]
(c) ∀x ∀y [(|x| = |y|) → (y = ± x)]
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