Prove the inequality: $|\arctan x-\arctan y|\le |x-y|;x,y\in\mathbb{R}$
138195
An inequality for arctan$x$
156669
Trying to prove a simple (?) inequality
63526
Proving that $(\sup_{x\in R}|f'(x)|)^2\leq 4\sup_{x\in R}|f(x)|\cdot\sup_{x\in R}|f''(x)|$.
15232
Proving an inequality involving real powers
129890
Proving inequality $|\sin(n\theta) |\le n\sin\theta$
148451
Polynomial inequality proof
36374
Exercise 1.6.3 from Alon & Spencer's *The Probabilistic Method*: prove that $Pr[|X-Y| \leq 2] \leq 3 Pr[|X-Y| \leq 1]$ for i.i.d. real RVs $X$ and $Y$
40930
Prove that $ex \leq e^x$ for all $x \in \mathbb{R}$
91617
Prove this inequality $a \sqrt{1-b^2}+b\sqrt{1-a^2}\le1 $
91662
Proof for triangle inequality for vectors
22237
Proof of triangle inequality
7775
Show that $|x-y|\leq |x|+|y|$.
18016
Proof of the following inequality $ \frac{x - y}{\log x - \log y} > \sqrt{xy} $, $x>y$.
67313
Proving $\{(x_1, x_2) \in \mathbb{R}^2_{+} \mid x_1 x_2 \geq 1\}$ is convex
15237
Prove an inequality using complex analysis
39015
Prove the triangle inequality on the sphere $S^2$ in $\mathbb{R}^3$.
147785
Proving inequality $x^xy^y \geq (\frac{x+y}{2})^{x+y}$