List questions from inequality

Published on 22 May 2018 - 3:45

122

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Question from a Moscow summer camp

Published on 01 Apr 2026 - 14:50

33

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Solve the inequality $\frac{\log_ax}{x^2+(a-4)x+4-2a}\le0$

Published on 22 May 2018 - 15:00

32

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Inequation $ 0 \lt -\pi +2k \pi \lt {\pi\over 2} + 2k\pi \lt 2\pi $, $k\in \mathbb Z$

Published on 22 May 2018 - 16:52

64

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Can we say that, for any $n\in\mathbb {R^{+}}$ following inequality is correct?

Published on 26 Mar 2026 - 3:12

568

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Finding Tight bound for Binomial Coefficient inequality

Published on 26 Mar 2026 - 12:51

53

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Proving that $\ln^2(x) \le Cx$ for some $C >0$ ($x\ge1$)

Published on 26 Mar 2026 - 13:51

352

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Trigonometric Inequality $\sin (2x) \gt \sqrt 2 \sin (x)$

Published on 23 May 2018 - 0:08

54

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Visualizing $c-d<a-b \implies b<a+d-c$?

Published on 24 Mar 2026 - 22:06

133

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To identify the largest of the three fractions

Published on 26 Mar 2026 - 6:29

93

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If $−1<a−b<10$,and$−3≤b≤1$ then what inequality represents the range of values of $a^2$?

Published on 25 Mar 2026 - 7:45

197

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let $f(x) = (x-1)\ln x$, and given $0 < a < b$. If $f(a) = f(b)$, prove that $\frac{1}{\ln a}+\frac{1}{\ln b} < \frac{1}{2}$

Published on 23 May 2018 - 4:53

1.2k

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Minimizing a symmetric sum of fractions without calculus

Published on 26 Mar 2026 - 11:17

75

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Would like to get numerical (lower [and upper?]) bounds for $p$

Published on 25 Mar 2026 - 4:39

194

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Min/max inequality

Published on 23 May 2018 - 15:42

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Sphere-Sphere Collision

Question from a Moscow summer camp

Solve the inequality $\frac{\log_ax}{x^2+(a-4)x+4-2a}\le0$

Inequation $ 0 \lt -\pi +2k \pi \lt {\pi\over 2} + 2k\pi \lt 2\pi $, $k\in \mathbb Z$

Can we say that, for any $n\in\mathbb {R^{+}}$ following inequality is correct?

Finding Tight bound for Binomial Coefficient inequality

Proving that $\ln^2(x) \le Cx$ for some $C >0$ ($x\ge1$)

Trigonometric Inequality $\sin (2x) \gt \sqrt 2 \sin (x)$

Visualizing $c-d<a-b \implies b<a+d-c$?

To identify the largest of the three fractions

If $−1<a−b<10$,and$−3≤b≤1$ then what inequality represents the range of values of $a^2$?

let $f(x) = (x-1)\ln x$, and given $0 < a < b$. If $f(a) = f(b)$, prove that $\frac{1}{\ln a}+\frac{1}{\ln b} < \frac{1}{2}$

Minimizing a symmetric sum of fractions without calculus

Would like to get numerical (lower [and upper?]) bounds for $p$

Min/max inequality

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