State whether the following universally quantified statements are true, where the domain consists of all real numbers. Otherwise find a suitable counter example : 1) ∀x(x2 ≥ x) 2) ∃x(x2 = 2) 3) ∀x ∃y[y(x+3) = 1] 4) ∃x(x2 +1 = 0).
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∃x(x2 = 2)
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