New posts in absolute-value

Is $\sqrt{x^2}=|x|$ or $=x$? Isn't $(x^2)^\frac12=x?$ [duplicate]

How to use triangle inequality to establish Reverse triangle inequality [duplicate]

The absolute value of a Riemann integrable function is Riemann integrable.

Where is the absolute value when computing antiderivatives?

My teacher describes absolute value confusingly: $|x|=\pm x,\quad \text{if}\enspace x>0 $.

Use the triangle inequality to show that $|a|+|b| \leq |a+b|+|a-b|$

Proving the inequality $|a-b| \leq |a-c| + |c-b|$ for real $a,b,c$

Equality holds in triangle inequality iff both numbers are positive, both are negative or one is zero

Prove variant of triangle inequality containing p-th power for 0 < p < 1

General Proof for the triangle inequality

Is there an easy way to see that this simple recurrence is 9-periodic? [duplicate]

How could we solve $x$, in $|x+1|-|1-x|=2$?

Proving that $x_n\to L$ implies $|x_n|\to |L|$, and what about the converse?

Is the absolute value function a linear function?

Definition of square root symbol - $\sqrt{x^2}=?$

Converting absolute value program into linear program

Integral Inequality Absolute Value: $\left| \int_{a}^{b} f(x) g(x) \ dx \right| \leq \int_{a}^{b} |f(x)|\cdot |g(x)| \ dx$

Is $\frac{\vert x+y\vert}{1+\vert x+y\vert}\leq\frac{\vert x\vert}{1+\vert x\vert}+\frac{\vert y\vert}{1+\vert y\vert}$ true?

Proving square root of a square is the same as absolute value

Why is the absolute value function not differentiable at $x=0$?