Solve the inequality: \(\displaystyle{\frac{{{a}{\left({1}-{a}\right)}}}{{{n}}}}{ < }{\frac{{{1}}}{{{10}^{{3}}}}}\) for

Pasegeabe85xy

Pasegeabe85xy

Answered question

2022-03-21

Solve the inequality: a(1a)n<1103 for aR.

Answer & Explanation

Dixie Reed

Dixie Reed

Beginner2022-03-22Added 15 answers

We have
a(1-a)=14-(a-12)214
with equality iff a=12, so we want n>250, i.e., the smallest such n is n=251.

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