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Que. Let θ(x, y, z) be the statement “x + y = z” and let there be two quantifications given as

(i) ∀x ∀y  Z ∃ θ(x, y, z)
(ii) ∃Z ∀x ∀y θ(x, y, z)
Where x, y, z are real numbers. Then which one of the following is correct ?
a. (i) is true and (ii) is true
b. (i) is true and (ii) is false
c. (i) is false and (ii) is true
d. (i) is false and (ii) is false
Answer:(i) is true and (ii) is false
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