List questions from inequality

Published on 04 Apr 2026 - 7:37

445

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Given three non-negative numbers $x,y,z$ so that $x+y+z=3$. Prove that $3\leqq \sum\limits_{cyc}x\sqrt{1+ y^{3}}\leqq 5$ .

Published on 25 Mar 2026 - 19:02

279

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Solve $|x+1|-|x|+3|x-1|-2|x-2|= x+2$

Published on 25 Mar 2026 - 7:49

52

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Why $\mathbb P\{S_n>0\}\leq \mathbb E[e^{\theta S_n}]$?

Published on 29 Mar 2026 - 10:46

237

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Inequality used in computing Fresnel Integral

Published on 29 Mar 2026 - 22:26

62

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Proving that $\frac{\alpha+1}{e}(\frac{\alpha+1}{\alpha-1})^{\frac{\alpha-1}{2}}<\alpha-\frac{1}{6\alpha}$ for $\alpha>1$.

Published on 02 Jun 2018 - 17:57

290

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Complex number absolute value inequality

Published on 25 Mar 2026 - 9:22

268

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How to solve this irrational inequality with different signs?

Published on 02 Jun 2018 - 19:02

142

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Find a $\delta > 0$ such that if $|x-3|<\delta $, then $|\sqrt{2x+3}-3|<0.01$.

Published on 25 Mar 2026 - 14:25

135

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Prove that $\displaystyle \lim_{n\to \infty} a_n\le\lim_{n\to \infty}b_n$

Published on 03 Apr 2026 - 15:38

127

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How to correctly find domain of this irrational equality?

Published on 27 Mar 2026 - 19:33

64

Views

Generalized Parallelogram Inequality

Published on 03 Jun 2018 - 10:55

444

Views

Why am I losing solutions when solving Inequalities like $\frac{2y-3}{y}>0$ by multiplying both sides by $y$?

Published on 03 Jun 2018 - 19:02

533

Views

Bernstein inequality

Published on 26 Mar 2026 - 3:09

129

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showing an iequality without using a calculator

Published on 04 Jun 2018 - 10:10

List Question

Prove: $2^{a}+ 2^{b}+ 2^{c}\leqq 3$

Given three non-negative numbers $x,y,z$ so that $x+y+z=3$. Prove that $3\leqq \sum\limits_{cyc}x\sqrt{1+ y^{3}}\leqq 5$ .

Solve $|x+1|-|x|+3|x-1|-2|x-2|= x+2$

Why $\mathbb P\{S_n>0\}\leq \mathbb E[e^{\theta S_n}]$?

Inequality used in computing Fresnel Integral

Proving that $\frac{\alpha+1}{e}(\frac{\alpha+1}{\alpha-1})^{\frac{\alpha-1}{2}}<\alpha-\frac{1}{6\alpha}$ for $\alpha>1$.

Complex number absolute value inequality

How to solve this irrational inequality with different signs?

Find a $\delta > 0$ such that if $|x-3|<\delta $, then $|\sqrt{2x+3}-3|<0.01$.

Prove that $\displaystyle \lim_{n\to \infty} a_n\le\lim_{n\to \infty}b_n$

How to correctly find domain of this irrational equality?

Generalized Parallelogram Inequality

Why am I losing solutions when solving Inequalities like $\frac{2y-3}{y}>0$ by multiplying both sides by $y$?

Bernstein inequality

showing an iequality without using a calculator

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