Proof for reverse triangle inequality $|x - y| \ge |x| - |y|$.
3820
Prove that $||x|-|y||\le |x-y|$
116387
How to prove that $\Gamma(x) \leq x^x$ for $x \geq 1$
143801
Proving the AGM inequality with 3 variables
77493
Classic $c_r$-inequality in $l_r$ space: $E(|X+Y|^r)\leq c_r[E(|X|^r)+E(|Y|^r)]$
47644
Inequality involving rearrangement: $ \sum_{i=1}^n |x_i - y_{\sigma(i)}| \ge \sum_{i=1}^n |x_i - y_i|. $
126032
Proving a certain inequality
30044
Inequality with triangle sides
33543
is "y1 < x < y2" an inequality or inequalities?
61472
If $0<x<y$, then prove that $\sqrt{x} <\sqrt{y}$ and $x <\sqrt{xy} <y$
77026
Proof with inequalities
22237
Proof of triangle inequality
77134
Proving a three variables inequality
35867
Squaring sides of an inequality
85039
Purely "algebraic" proof of Young's Inequality
56101
Prove the inequality $\frac{a}{c+a-b}+\frac{b}{a+b-c}+\frac{c}{b+c-a}\ge{3}$
152311
Proving expression$\geq 2$, where variables are $x,y,z$
95293
Proof that $|\sqrt{x}-\sqrt{y}| \leq \sqrt{|x-y|},\quad x,y \geq 0$