List questions from absolute-value

Published on 03 Sep 2016 - 23:40

55

Views

Absolute value of difference of squares contradiction

Published on 04 Sep 2016 - 16:09

249

Views

Why does $|x^2| = x^2$, only if $x$ is positive? (according to Wolfram Alpha)

Published on 26 Mar 2026 - 4:51

655

Views

Induction absolute values proof verification

Published on 06 Sep 2016 - 11:39

106

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$|x-1|\cdot|x+1|=0$ and $|x-1|\cdot|x+2|=3$

Published on 07 Sep 2016 - 12:11

14.6k

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Prove: $|xy|=|x|\cdot |y|$

Published on 07 Sep 2016 - 12:53

89

Views

Prove: $\Big|\dfrac{1}{x}\Big|=\dfrac{1}{|x|}$

Published on 07 Sep 2016 - 13:59

156

Views

Prove: $\dfrac{|x|}{|y|}=\left|\dfrac{x}{y}\right|$

Published on 07 Sep 2016 - 14:26

30k

Views

Prove: $|x-y|\leq |x|+|y|$

Published on 07 Sep 2016 - 14:53

156

Views

How can I solve inequalities like $|3x-5|<x+2$?

Published on 07 Sep 2016 - 17:09

9.4k

Views

Absolute value inequality with variable on both sides

Published on 08 Sep 2016 - 2:11

653

Views

Prove: $|x|-|y|\leq |x-y|$

Published on 08 Sep 2016 - 13:14

46

Views

Proving maximum and minimum

Published on 08 Sep 2016 - 13:49

60

Views

How do I prove that $|c| ≤ \max\{b, −a\}$ given that $a, b, c \in \mathbb R$ and $a ≤ c ≤ b$?

Published on 08 Sep 2016 - 18:37

96

Views

Do I always need to check the roots of equations involving the modulus of a variable?

Published on 09 Sep 2016 - 7:22

List Question

What is the derivative of $|f(x)|^n$

Absolute value of difference of squares contradiction

Why does $|x^2| = x^2$, only if $x$ is positive? (according to Wolfram Alpha)

Induction absolute values proof verification

$|x-1|\cdot|x+1|=0$ and $|x-1|\cdot|x+2|=3$

Prove: $|xy|=|x|\cdot |y|$

Prove: $\Big|\dfrac{1}{x}\Big|=\dfrac{1}{|x|}$

Prove: $\dfrac{|x|}{|y|}=\left|\dfrac{x}{y}\right|$

Prove: $|x-y|\leq |x|+|y|$

How can I solve inequalities like $|3x-5|<x+2$?

Absolute value inequality with variable on both sides

Prove: $|x|-|y|\leq |x-y|$

Proving maximum and minimum

How do I prove that $|c| ≤ \max\{b, −a\}$ given that $a, b, c \in \mathbb R$ and $a ≤ c ≤ b$?

Do I always need to check the roots of equations involving the modulus of a variable?

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