Given that a ＜ 0, - 1 ＜ B ＜ 0, try to arrange a, AB, AB in the order from small to large | Math enthusiast | Mathematical art

Given that a ＜ 0, - 1 ＜ B ＜ 0, try to arrange a, AB, AB in the order from small to large

A-Ab = a (1-B) because a ＜ 0, - 1 ＜ B ＜ 0, so 1 ＜ 1-B ＜ 2, so a (1-B) ＜ 0, so a-Ab ＜ 0, i.e. a ＜ ab ② AB AB = AB (1-B) because a ＜ 0, - 1 ＜ B ＜ 0, so 1 ＜ 1-B ＜ 2, so AB (1-B) ＞ 0, so AB ab ＞ 0, i.e. ab ＞ ab ③ a-Ab = a (1-B) because a ＜ 0, - 1 ＜ B

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