Prove that for all positive integers n,r, and k such that n=rk, the inequality (r − 1)!^k ≤ c(n, k)/S(n, k) ≤ (n − k)!
135558
An inequality about Stirling numbers
122156
An inequality concerning three positive numbers
10483
Prove Sylvester rank inequality: $\text{rank}(AB)\ge\text{rank}(A)+\text{rank}(B)-n$
124456
Given $x \in \mathbb{R}$ and $N \in \mathbb{N}, N>1,$ find integers $h,k$ with $0 < k \leq N $ that satisfy $\lvert{kx - h\rvert} < 1/N.$
91131
Question regarding an inequality
139158
Inequality concerning nonnegative numbers (related to Hanner's inequalities)
126889
Proof by induction: inequality $n! > n^3$ for $n > 5$
79491
Inequality $(a+b)^2 + (a+b+4c)^2\ge \frac{kabc}{a+b+c}$ for $a,b,c \in\mathbb{R}$
66358
Prove by mathematical induction that $2n ≤ 2^n$, for all integer $n≥1$?
120093
Proof of inequality $2(\sqrt{n+1}-\sqrt{n}) < \frac{1}{\sqrt{n}} < 2(\sqrt{n} - \sqrt{n-1})$ using induction
145891
Prove that $n! > \sqrt{n^n}, n \geq 3$
50296
Prove $(-a+b+c)(a-b+c)(a+b-c) \leq abc$, where $a, b$ and $c$ are positive real numbers
16798
Prove the inequality $n! \geq 2^n$ by induction
138036
Proving Inequality using Induction $a^n-b^n \leq na^{n-1}(a-b)$
147253
Prove for any $K \leq G$, either $K \leq N$ or $KN=G$ and $[K:K \cap N]=p$ where N is normal in G and $[G:N]=p$
126032
Proving a certain inequality
113248
Proving $r!$ divides the product of r succesive positive integers