|$deg^+ (v) - deg^- (v)$| $\le 1$.
126428
Prove the edges of a multigraph may be oriented such that the net-degree of any vertex is $\leq 1$.
64096
Prove that $||z_1|-|z_2|| \leq |z_1-z_2|$.
39082
Proving $x^\alpha-\alpha x \le 1- \alpha $
29679
Prove: $|x-y|\leq |x|+|y|$
125209
Prove $e^x - e^y \leq e |x-y|$ for $x$ belonging to $[0,1]$
117688
Prove that $\def\Aut{\operatorname{Aut}}\Aut(\mathbf{Z_{n}})\simeq \mathbf{Z_{n}^{*}}$
76188
Show $(W_1 + W_2 )^\perp = W_1^\perp \cap W_2^\perp$ and $W_1^\perp + W_2^\perp ⊆ (W_1 \cap W_2 )^\perp$
46746
How to prove if $u\in W^{1,p}$, then $|u|\in W^{1,p}$?
52427
Prove, $\sqrt{n} \le (n!)^\frac{1}{n} \le \frac{n+1}{2} $
54380
Prove if $|z| < 1$ and $ |w| < 1$, then $|1-zw^*| \neq 0$ and $| {{z-w} \over {1-zw^*}}| < 1$
16550
Is $ d(X) \le s(X)? $
27901
Proving $\sum\limits_{i=1}^k | \langle x,v_i \rangle \langle y,v_i\rangle| \leq \|x\|\cdot \|y\|$
133228
Prove $(|x| + |y|)^p \le |x|^p + |y|^p$ for $x,y \in \mathbb R$ and $p \in (0,1]$.
68705
Prove that $A\ge0, B\ge0$ and $A\ge B$ implies $B^{-1}\ge A^{-1}$
155232
Prove that inequality is true for $x>0$: $(e^x-1)\ln(1+x) > x^2$
32149
Proof of the inequality $(x+y)^n\leq 2^{n-1}(x^n+y^n)$
18477
$(W_1+W_2+\cdots+W_n)^a \leq W_1^a +\cdots + W_n^a$ for $n$ integer, $n\geq 2$, $W\gt 0$ and $a$ constant, real, $0\lt a\lt 1$