List questions from absolute-value

Published on 18 Dec 2013 - 22:18

322

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Let $x$ be in the set of real numbers $\mathbb{R}$ and let $f(x)=|2x-1|-3|2x+4|+7$ be a function, write $f(x)$ without the absolute value.

Published on 22 Dec 2013 - 12:08

405

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I want to check that $\left|\left|a+b\right|-\left|a\right|-\left|b\right|\right|\leq2\left|b\right|\forall a,b\in\mathbb{R} $.

Published on 23 Dec 2013 - 9:48

1.2k

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Absolute value of cubic polynomial roots lower than 1

Published on 29 Mar 2026 - 19:16

123

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Check that $|x|=\max\{-x,x\}=\max\{-x,x,0\}$

Published on 27 Dec 2013 - 12:53

141

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Solving inequation with two absoulte values

Published on 28 Dec 2013 - 14:40

112

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Proof by contradiction: $c<a<d \wedge c<b<d \to |a-b|<d-c$

Published on 30 Dec 2013 - 0:51

201

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Problem with absolute value

Published on 31 Dec 2013 - 12:58

16.7k

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Minimizing the sum of absolute values with a linear solver

Published on 31 Dec 2013 - 20:57

3.8k

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Proving continuity of a absolute value function

Published on 03 Jan 2014 - 12:14

35.6k

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Find all $z\in\Bbb C$ such that $|z+1|+ |z-1|=4$

Published on 04 Jan 2014 - 3:10

51.6k

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Prove that the absolute value of a product is the product of the absolute values of factors.

Published on 10 Jan 2014 - 12:01

66

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Proving a claim $|c_n e^{in\theta}| = |c_n|$

Published on 10 Jan 2014 - 13:21

65

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Are there any $x,y,z$ in $\mathbb{R}$ for which the following equations hold?

Published on 12 Jan 2014 - 13:43

121

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Change of variables - integrals

Published on 13 Jan 2014 - 14:36

List Question

Absolute Value Inequality - Precision

Let $x$ be in the set of real numbers $\mathbb{R}$ and let $f(x)=|2x-1|-3|2x+4|+7$ be a function, write $f(x)$ without the absolute value.

I want to check that $\left|\left|a+b\right|-\left|a\right|-\left|b\right|\right|\leq2\left|b\right|\forall a,b\in\mathbb{R} $.

Absolute value of cubic polynomial roots lower than 1

Check that $|x|=\max\{-x,x\}=\max\{-x,x,0\}$

Solving inequation with two absoulte values

Proof by contradiction: $c<a<d \wedge c<b<d \to |a-b|<d-c$

Problem with absolute value

Minimizing the sum of absolute values with a linear solver

Proving continuity of a absolute value function

Find all $z\in\Bbb C$ such that $|z+1|+ |z-1|=4$

Prove that the absolute value of a product is the product of the absolute values of factors.

Proving a claim $|c_n e^{in\theta}| = |c_n|$

Are there any $x,y,z$ in $\mathbb{R}$ for which the following equations hold?

Change of variables - integrals

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