List questions from inequality

Published on 25 Mar 2026 - 13:42

71

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Show that $n!\ge2^{\left(n-1\right)}\left(n-2\right)^2$ by using induction

Published on 24 Mar 2026 - 23:55

186

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Prove that $x+\frac1{4x} ≥ 1$ for $x>0$

Published on 06 Feb 2018 - 16:34

150

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Is it true that $\frac {a}{a+b}+\frac {b}{b+c}+\frac {c}{c+a}\geq \frac32$ if $a+b+c=1$?

Published on 23 Mar 2026 - 8:48

184

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Prove that if $a$ and $b$ satisfy $2a+4b=1$, then $a^2+b^2\ge \frac {1}{20}$

Published on 14 Mar 2026 - 11:31

2.1k

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Proof of inequalities using binomial theorem

Published on 25 Mar 2026 - 6:19

78

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Proofs Involving the Triangle Inequality

Published on 25 Mar 2026 - 15:11

443

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An integral inequality from AMM

Published on 07 Feb 2018 - 16:57

1.2k

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Proving an inequality is valid for all values of x?

Published on 07 Feb 2018 - 18:00

52

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dot product and norm "one"

Published on 07 Feb 2018 - 20:46

338

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How to show $|2z^{3} - 4z - 3- i| \geq \sqrt{10} - \frac{5}{2}$ for $|z| \leq \frac{1}{2}$?

Published on 08 Feb 2018 - 3:03

76

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Ceiling of any Real Number Proof

Published on 25 Mar 2026 - 1:23

70

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Sum of a series involving integral II

Published on 08 Feb 2018 - 6:43

129

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Show the following inequality.

Published on 25 Mar 2026 - 1:40

70

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If $P(x)=x^4+a_0 x^3+a_1 x^2+a_2 x+a_3$, $P(x)>0$, and $Q(x)=a_3x^4+a_2 x^3+a_1x^2+a_0 x$ prove that $Q(a_3)>-2$.

Published on 08 Feb 2018 - 16:23

List Question

Inequality concerning complex numbers and their modulus properties

Show that $n!\ge2^{\left(n-1\right)}\left(n-2\right)^2$ by using induction

Prove that $x+\frac1{4x} ≥ 1$ for $x>0$

Is it true that $\frac {a}{a+b}+\frac {b}{b+c}+\frac {c}{c+a}\geq \frac32$ if $a+b+c=1$?

Prove that if $a$ and $b$ satisfy $2a+4b=1$, then $a^2+b^2\ge \frac {1}{20}$

Proof of inequalities using binomial theorem

Proofs Involving the Triangle Inequality

An integral inequality from AMM

Proving an inequality is valid for all values of x?

dot product and norm "one"

How to show $|2z^{3} - 4z - 3- i| \geq \sqrt{10} - \frac{5}{2}$ for $|z| \leq \frac{1}{2}$?

Ceiling of any Real Number Proof

Sum of a series involving integral II

Show the following inequality.

If $P(x)=x^4+a_0 x^3+a_1 x^2+a_2 x+a_3$, $P(x)>0$, and $Q(x)=a_3x^4+a_2 x^3+a_1x^2+a_0 x$ prove that $Q(a_3)>-2$.

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