Any equation or inequality with variables in it is a predicate in the domain of real numbers. For each of the following statements, tell whether the statement is true or false.
(a) (∀x)(x2 > x)
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(b) (Ǝx) (x2 − 2 = 1)
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(c) (Ǝx)(x2 + 2=1)
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(d) (∀x)(Ǝy)(x2 + y = 4)
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(e) (Ǝy)(∀x)(x2 + y = 4)