Elementary inequality involving modulus
114822
Prove or disprove an inequality involving complex numbers
138316
A simple inequality for floor function
115533
Inequality for small values of $t$
99820
symetric inequality for a rational function of three variables
118244
An $n$th root inequality: $\sqrt[n]{n} < 1 + \sqrt{2/n}$
151154
Prove the inequality $\sqrt\frac{a}{a+8} + \sqrt\frac{b}{b+8} +\sqrt\frac{c}{c+8} \geq 1$ with the constraint $abc=1$
117262
Proving a logarithm inequality
107894
Inequality involving the sup of a function and its first and second derivatives
77026
Proof with inequalities
72470
Prove that $2|ab| \leq a^2 + b^2$ and $|a|+|b| \leq \sqrt {2}(a^2+b^2)^{1/2}$
38448
Show that a simple inequality holds: $a<b$ implies $\frac ab < \frac{a+1}{b+1}$
52618
AM-GM inequality basic
147785
Proving inequality $x^xy^y \geq (\frac{x+y}{2})^{x+y}$
91617
Prove this inequality $a \sqrt{1-b^2}+b\sqrt{1-a^2}\le1 $
105047
Prove the inequality $|xy|\leq\frac{1}{2}(x^2+y^2)$
33332
A classic exponential inequality: $x^y+y^x>1$
91871
Proving quadratic inequalities?