SOLUTION: Example 3.4. If a ∈ R, prove that (i) 0 < a < 1 implies 0 < a^2 < a

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Question 1190200: Example 3.4. If a ∈ R, prove that
(i) 0 < a < 1 implies 0 < a^2 < a

Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!




means that is positive. Multiplying an inequality by a positive number retains the original sense of the inequality. So multiply by :






John

My calculator said it, I believe it, that settles it

From
I > Ø