A classic exponential inequality: $x^y+y^x>1$
13572
$x^y+y^x>1$ for all $(x, y)\in \mathbb{R_+^2}$
40420
Proof by induction of Bernoulli's inequality: $(1 + x)^n \geq 1 + nx$
83386
Inequality with exponents $x^x+y^y \ge x^y +y^x$
38636
A basic question about exponentiation: when is $a^{xy}=(a^x)^y$?
40930
Prove that $ex \leq e^x$ for all $x \in \mathbb{R}$
156555
Inequality $\sqrt{1+x^2}+\sqrt{1+y^2}+\sqrt{1+z^2} \le \sqrt{2}(x+y+z)$
94119
Prove that $xy \leq\frac{x^p}{p} + \frac{y^q}{q}$
155232
Prove that inequality is true for $x>0$: $(e^x-1)\ln(1+x) > x^2$
19078
Prove an interpolation inequality
41364
How to prove that $x^y - y^x = x + y$ has only one solution in positive integers?
91655
exponential inequality with two variables on each side but the variable is places on the exponent on one side only and the other exponent is defined
33543
is "y1 < x < y2" an inequality or inequalities?
42193
Show that $E(Y^p)=\int_{0}^{\infty}px^{p-1}P(Y\geq x)dx$
90343
Proving the inequality $|e^z-1|\leq e^{|z|}-1$
81363
How to compute $P(X>Y)$ if $X$ and $Y$ are independent and exponentially distributed
106979
Prove the inequality and limitation
83873
Find $E(|X-Y|^a)$ where $X$ and $Y$ are independent uniform on $(0,1)$