14. If 0 < a...
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14. If 0 < a <b, show that a² < ab <b². Show by example that it does not follow that a² <ab <b². 15. If 0 < a <b, show that (a) a < √ab <b, and (b) 1/b <1/a. 14. If 0 < a <b, show that a² < ab <b². Show by example that it does not follow that a² <ab <b². 15. If 0 < a <b, show that (a) a < √ab <b, and (b) 1/b <1/a.
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