New posts in Absolute Value

Proving $|a+b|\le |a|+|b|$ from $-|a|\le a \le |a|$

Show that $|b-a|\geq|\cos a-\cos b|$ for all real numbers $\,a\,$ and $\,b$

Proving a complicated looking inequality in a simple way

Suppose that $z\in\mathbb C$ with $|z^2+1|\le 1$. How to prove $|z+1|\geq\frac12$.

Prove a trigonometric inequality

Minimising expression with absolute values

Square root of the square of the cosine: absolute value or not

Derivative when $(\sqrt{x})^2$ is involved?

Is $y=|x^3| $a parabola?

Why isn't the definition of absolute value applied when squaring a radical containing a variable?