Question

Solve $|x| + |x-1| <5$

score 192 · Answer 1 · 2017-02-15 07:31:04

192

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Solve $|x| + |x-1| <5$

Published on 15 Feb 2017 - 7:31

score 92 · Answer 2 · 2026-03-25 19:06:58

92

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How can I show that $\left|\sin \frac{s}{2}\right| \geq \frac{|s|}{\pi}, s \in [- \pi , \pi]$?

Published on 25 Mar 2026 - 19:06

score 914 · Answer 3 · 2026-02-24 15:36:49

914

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If $\left | z \right | \leq 1$, which of the following must be true?

Published on 24 Feb 2026 - 15:36

score 47 · Answer 4 · 2017-02-16 08:38:04

47

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Inequality $\sqrt{x^2+y^2+z^2+2yz}\leq a \sqrt{x^2+y^2}+b|z|,$

Published on 16 Feb 2017 - 8:38

score 102 · Answer 5 · 2017-02-16 16:21:06

102

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Calculus Apostol, 1.26 exercise 21 b

Published on 16 Feb 2017 - 16:21

score 1k · Answer 6 · 2017-02-17 05:48:55

1k

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Proof of Hlawka's inequality for complex numbers.

Published on 17 Feb 2017 - 5:48

score 66 · Answer 7 · 2017-02-17 19:25:01

66

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Use induction to prove $|a_{1} + a_{2} + \dots + a_{n} | \leq |a_{1}| + |a_{2}| + \dots + |a_{n}|$.

Published on 17 Feb 2017 - 19:25

score 655 · Answer 8 · 2026-03-27 08:42:44

655

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proof $|\sinh(x)|\leq|3x|$ for $ -\frac{1}{2}<x<\frac{1}{2}$

Published on 27 Mar 2026 - 8:42

score 396 · Answer 9 · 2026-03-27 10:15:45

396

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Proof |1/cosh(x)|≥|ln(cosh(x)/(1+cosh(x))|

Published on 27 Mar 2026 - 10:15

score 130 · Answer 10 · 2026-03-25 17:26:56

130

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For $a, b, c$ is the length of three sides of a triangle. Prove that $\left|\frac{a-b}{a+b}+\frac{b-c}{b+c}+\frac{c-a}{c+a}\right|<\frac{1}{8}$

Published on 25 Mar 2026 - 17:26

score 60 · Answer 11 · 2026-03-31 21:05:53

60

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Struggling with Analysis inequality

Published on 31 Mar 2026 - 21:05

score 98 · Answer 12 · 2017-02-26 04:56:32

98

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Is every absolute value defined on $\Bbb R$ or $\Bbb C$ not differentiable at zero?

Published on 26 Feb 2017 - 4:56

score 61 · Answer 13 · 2017-02-26 17:53:16

61

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Solving equations with two terms having absolute values

Published on 26 Feb 2017 - 17:53

score 320 · Answer 14 · 2026-03-31 22:47:30

320

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Question on delta-epsilon proof nested absolute value

Published on 31 Mar 2026 - 22:47

score 183 · Answer 15 · 2017-02-28 16:25:15

183

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Suppose that the $\lim_{x\rightarrow c}{|f(x)|}$ exists. Give an example to show that $\lim_{x\rightarrow c}{f(x)}$ may not exist.

Published on 28 Feb 2017 - 16:25

List Question

Solve $|x| + |x-1| <5$

How can I show that $\left|\sin \frac{s}{2}\right| \geq \frac{|s|}{\pi}, s \in [- \pi , \pi]$?

If $\left | z \right | \leq 1$, which of the following must be true?

Inequality $\sqrt{x^2+y^2+z^2+2yz}\leq a \sqrt{x^2+y^2}+b|z|,$

Calculus Apostol, 1.26 exercise 21 b

Proof of Hlawka's inequality for complex numbers.

Use induction to prove $|a_{1} + a_{2} + \dots + a_{n} | \leq |a_{1}| + |a_{2}| + \dots + |a_{n}|$.

proof $|\sinh(x)|\leq|3x|$ for $ -\frac{1}{2}<x<\frac{1}{2}$

Proof |1/cosh(x)|≥|ln(cosh(x)/(1+cosh(x))|

For $a, b, c$ is the length of three sides of a triangle. Prove that $\left|\frac{a-b}{a+b}+\frac{b-c}{b+c}+\frac{c-a}{c+a}\right|<\frac{1}{8}$

Struggling with Analysis inequality

Is every absolute value defined on $\Bbb R$ or $\Bbb C$ not differentiable at zero?

Solving equations with two terms having absolute values

Question on delta-epsilon proof nested absolute value

Suppose that the $\lim_{x\rightarrow c}{|f(x)|}$ exists. Give an example to show that $\lim_{x\rightarrow c}{f(x)}$ may not exist.

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