Prove the following inequality using the AM-GM inequality.
33903
Prove that $(1+a_1) \cdot (1+a_2) \cdot \dots \cdot (1+a_n) \geq 2^n$
81800
Prove inequality using Jensen's inequality
23119
An application of Jensen's Inequality
35001
Prove inequality using Schwarz's Lemma
32149
Proof of the inequality $(x+y)^n\leq 2^{n-1}(x^n+y^n)$
11983
Proof of Clarkson's Inequality
74486
How to understand Cauchy's proof of AM-GM inequality(the last step)
8207
Can I prove this inequality algebraically?
6613
AM-GM inequality: $\frac{a^2}{b} + \frac{b^2}{c} + \frac{c^2}{d} + \frac{d^2}{a} \geq a + b + c + d$
48092
Inequality involving a finite sum
47644
Inequality involving rearrangement: $ \sum_{i=1}^n |x_i - y_{\sigma(i)}| \ge \sum_{i=1}^n |x_i - y_i|. $
1305
Proving the AM-GM inequality for 2 numbers $\sqrt{xy}\le\frac{x+y}2$
88838
How can I prove this inequality for $n\geq 2$?
62578
Using AM-GM inequality
5465
This inequality $a+b^2+c^3+d^4\ge \frac{1}{a}+\frac{1}{b^2}+\frac{1}{c^3}+\frac{1}{d^4}$
123757
Proving a summation inequality with induction
56101
Prove the inequality $\frac{a}{c+a-b}+\frac{b}{a+b-c}+\frac{c}{b+c-a}\ge{3}$