inequalities and power

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inequalities and power

by hpgmat » Fri Aug 21, 2009 5:57 pm
if n is a positive integer , is (1/10) ^ n < 0.01?

1) n > 2
2) (1/10)^ (n-1) < 0.1

i can tell that the condition 1 is true, though when simplifying the inequality as presented in 2 , i get n < 2 which makes the original equation false. ( 0.1 ^ (n-1) < 0.1 ^ 1) = (n-1) < 1 = n < 2.

apparently each statement alone is sufficient.
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by hpgmat » Fri Aug 21, 2009 6:04 pm
please disregard.
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