Proof that this inequality is true for all real numbers a and b?
120954
Prove that: $\sqrt[3]{a_1^3+ a_2^3 +\cdots+a_n^3} \le \sqrt{a_1^2 + a_2^2 +\cdots+a_n^2}$
15232
Proving an inequality involving real powers
68986
Use the triangle inequality to show that $|a|+|b| \leq |a+b|+|a-b|$
138212
Please help me prove: $v(a+b)\leq v(a)+v(b)$, and $v(ab)\leq v(a)v(b)$ where $v(x)=\inf{\{\vert x^n \vert}^{1/n}: n\in\mathbb{N}\}$
158844
If $a$ and $b$ are positive real numbers such that $a+b=1$, prove that $(a+1/a)^2+(b+1/b)^2\ge 25/2$
72470
Prove that $2|ab| \leq a^2 + b^2$ and $|a|+|b| \leq \sqrt {2}(a^2+b^2)^{1/2}$
140817
Real Analysis Inequality Proof Involving Reals and Rationals $0 < |r - q| < \varepsilon$
127296
prove that a|b and b|a iff a=+-b
22237
Proof of triangle inequality
104125
How prove this inequality??
91131
Question regarding an inequality
132971
Prove that $|a| < b \iff -b<a<b$
50296
Prove $(-a+b+c)(a-b+c)(a+b-c) \leq abc$, where $a, b$ and $c$ are positive real numbers
155232
Prove that inequality is true for $x>0$: $(e^x-1)\ln(1+x) > x^2$
143968
Proving this inequality by mathematical induction
51347
Prove that $|a|\leq \max\{|b|,|c|\}$ if $b\leq a \leq c$
133428
How prove this inequality $\frac{a}{b+3}+\frac{b}{c+3}+\frac{c}{d+3}+\frac{d}{a+3}\le 1$