Assume that a > 0, b > 0. Prove each statement. (a) a < b a2
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(a) a < b ⇔ a2 < b2
(b) a < b ⇔ 1/a > 1/b
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a Let a b so ab b 2 Also a 2 ab Thus a 2 ab b 2 and a 2 ...View the full answer
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