List questions from absolute-value

Published on 26 Mar 2026 - 9:29

98

Views

For all Real Numbers $a, b \in \mathbb R$, $|a + b|^2 = (a + b)^2$

Published on 26 Mar 2026 - 10:59

915

Views

Inequality with absolute value in denominator

Published on 23 Jul 2019 - 7:41

99

Views

Find range of $m$ such that $|x^2-3x+2 | = mx$ has 4 distinct solutions

Published on 24 Jul 2019 - 6:41

822

Views

Proving the Triangle Inequality using only the Axioms of Inequality on the set of Real Numbers

Published on 26 Mar 2026 - 11:01

1.5k

Views

Maximum and minimum value of absolute value function.

Published on 26 Jul 2019 - 4:25

139

Views

Proof-Verification: $|xy|=|x|\cdot |y|$

Published on 27 Jul 2019 - 0:14

82

Views

Absolute value in real number system

Published on 27 Jul 2019 - 13:27

94

Views

Why no absolute value for integral of $\frac{1}{x}$?

Published on 30 Jul 2019 - 1:09

181

Views

Confusion about absolute value, exponents, and logarithms

Published on 01 Aug 2019 - 6:46

54

Views

Solving for $x$ (a quadratic equation)

Published on 01 Aug 2019 - 7:20

29

Views

What should $a$ be for the system of inequalities to have one solution?

Published on 03 Aug 2019 - 3:50

123

Views

Find the locus of $|\frac{z}{z-4}|=5$

Published on 25 Mar 2026 - 19:11

1.1k

Views

What are the number of solutions of $|\sqrt{2\sin^4 x+18\cos^2 x}-\sqrt{2\cos^4 x+18\sin^2 x}|=1?$

Published on 27 Mar 2026 - 5:41

356

Views

Integral of scaled arcsin vs arctan: handling absolute values

Published on 03 Aug 2019 - 16:48

List Question

Proof that $a = |a| \Rightarrow 0 \leq a$

For all Real Numbers $a, b \in \mathbb R$, $|a + b|^2 = (a + b)^2$

Inequality with absolute value in denominator

Find range of $m$ such that $|x^2-3x+2 | = mx$ has 4 distinct solutions

Proving the Triangle Inequality using only the Axioms of Inequality on the set of Real Numbers

Maximum and minimum value of absolute value function.

Proof-Verification: $|xy|=|x|\cdot |y|$

Absolute value in real number system

Why no absolute value for integral of $\frac{1}{x}$?

Confusion about absolute value, exponents, and logarithms

Solving for $x$ (a quadratic equation)

What should $a$ be for the system of inequalities to have one solution?

Find the locus of $|\frac{z}{z-4}|=5$

What are the number of solutions of $|\sqrt{2\sin^4 x+18\cos^2 x}-\sqrt{2\cos^4 x+18\sin^2 x}|=1?$

Integral of scaled arcsin vs arctan: handling absolute values

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