List questions from inequality

Published on 27 Mar 2026 - 1:43

131

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Show $\left(1-\frac x k\right)^k<\left(1-\frac {x}{ k+1}\right)^{k+1}$

Published on 26 Mar 2026 - 17:34

90

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Is ${n^2}/D(n^2) \in \mathbb{N}$, if $q^k n^2$ is an odd perfect number?

Published on 25 Mar 2026 - 4:40

58

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How do I show that $ ||x| - |y||\leq|x - y| $

Published on 20 Jul 2018 - 1:02

460

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How do I prove $x - \frac{x^3}3 < \arctan x < x$?

Published on 20 Jul 2018 - 1:40

70

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Solving $a^3+a^2|a+x|+|a^2x+1|=1$

Published on 26 Mar 2026 - 10:58

105

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Solving $x|x-1|<3$?

Published on 20 Jul 2018 - 7:13

85

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Proving using Bernoulli inequality

Published on 20 Jul 2018 - 10:39

243

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Prove: $\log_2(x)+\log_3(x)+\log_5(x)>9\log_{30}(x)$

Published on 25 Mar 2026 - 23:36

69

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inequality proving for intersection

Published on 05 Apr 2026 - 22:02

49

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Technical Inequality needed to establish smooth but nowhere analytic function

Published on 20 Jul 2018 - 17:15

149

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How to estimate the following integral?

Published on 20 Jul 2018 - 19:06

413

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Prove that $a^4+b^4+1\ge a+b$.

Published on 25 Mar 2026 - 12:48

142

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Why Is f'(x)>0 When f''(x)>0

Published on 25 Mar 2026 - 17:19

340

Views

Is subtracting inequalities allowed? $\sup(A+B)= \sup(A)+\sup(B)$ - proof verification

Published on 25 Mar 2026 - 23:08

List Question

A geometric inequality to triangle $ABC$

Show $\left(1-\frac x k\right)^k<\left(1-\frac {x}{ k+1}\right)^{k+1}$

Is ${n^2}/D(n^2) \in \mathbb{N}$, if $q^k n^2$ is an odd perfect number?

How do I show that $ ||x| - |y||\leq|x - y| $

How do I prove $x - \frac{x^3}3 < \arctan x < x$?

Solving $a^3+a^2|a+x|+|a^2x+1|=1$

Solving $x|x-1|<3$?

Proving using Bernoulli inequality

Prove: $\log_2(x)+\log_3(x)+\log_5(x)>9\log_{30}(x)$

inequality proving for intersection

Technical Inequality needed to establish smooth but nowhere analytic function

How to estimate the following integral?

Prove that $a^4+b^4+1\ge a+b$.

Why Is f'(x)>0 When f''(x)>0

Is subtracting inequalities allowed? $\sup(A+B)= \sup(A)+\sup(B)$ - proof verification

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