Let D = E = {−2, −1, 0, 1, 2}. Write negations for each of the following statements and determine which is true, the given statement or its negation.
a. ∀x in D, ∃y in E such that x + y = 1.
b. ∃x in D such that ∀y in E, x + y = −y.
c. ∀x in D, ∃y in E such that xy ≥ y.
d. ∀x in D such that ∀y in E, x ≤ y.
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