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4 statements on real, how many correct? (HOMC 2011 J Q4)

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July 25, 2019
algebrainequalities

Problem Statement

Among the five statements on real numbers below, how many of them are correct? "If a<b<0a < b < 0 then a<b2a < b^2" , "If 0<a<b0 < a < b then a<b2a < b^2", "If a3<b3a^3 < b^3 then a<ba < b", "If a2<b2a^2 < b^2 then a<ba < b", "If ∣a∣<∣b∣|a| < |b| then a<ba < b",
(A) 00, (B) 11, (C) 22, (D) 33, (E) 44
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