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Determine whether each of these arguments is valid.
(i) If x is a real number such that x>2, then x2 >4. Suppose that x²> 4.
Then x > 2.
(ii) If x is a real number with x <-2, then x2 >4. Suppose that x² ≤4.
Then x > -2.
(iii) If x is a real number with x>2, then x2 >4. Suppose that x ≤2.
Then x²≤4.
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