How can I prove the following inequality.
66082
Using $\sqrt{1-t}\leq 1-\frac t2$ to show that $\frac{1\cdot3\cdot5\cdots(2n-1)}{2\cdot4\cdot6\cdots2n}\geq\frac1{2\sqrt n}$
147785
Proving inequality $x^xy^y \geq (\frac{x+y}{2})^{x+y}$
19078
Prove an interpolation inequality
52204
Proof of one inequality $a+b+c\leq\frac{a^3}{bc}+\frac{b^3}{ca}+\frac{c^3}{ab}$
35001
Prove inequality using Schwarz's Lemma
5369
Proving the inequality $|a-b| \leq |a-c| + |c-b|$ for real $a,b,c$
7775
Show that $|x-y|\leq |x|+|y|$.
29679
Prove: $|x-y|\leq |x|+|y|$
8007
Proof of Young's inequality
140857
Using Bernoulli's Inequality to prove an inequality
88687
Proof of the inequality $||a+b|^p - |a|^p| \leq \epsilon |a|^p + C_{\epsilon} |b|^p$
124654
Prove this inequality: $\frac n2 \le \frac{1}{1}+\frac{1}{2}+\frac{1}{3}+...+\frac1{2^n - 1} \le n$
16392
Prove the Inequality on sequence
99644
Finding an Upper Bound on This Inequality
40936
How prove this integral inequality
118559
Prove the inequality $\sum_{1\le i<j\le n}\sqrt{a_ia_j}<\frac{n-1}2\sum_{i=1}^n a_i$
117262
Proving a logarithm inequality