Absolute value proof, $|a|\leq\max\{|x|,|y|\}$
51347
Prove that $|a|\leq \max\{|b|,|c|\}$ if $b\leq a \leq c$
45370
Is it true that $|d(x, z) - d(y, z)| \leq d(x, y)$ and how do I prove it?
133228
Prove $(|x| + |y|)^p \le |x|^p + |y|^p$ for $x,y \in \mathbb R$ and $p \in (0,1]$.
77192
How to prove $\text{Rank}(AB)\leq \min(\text{Rank}(A), \text{Rank}(B))$?
44607
Prove that a continuous function on a closed interval attains a maximum
33308
Unique local extremum is absolute extremum for continuous functions
147785
Proving inequality $x^xy^y \geq (\frac{x+y}{2})^{x+y}$
72081
$\forall x,y>0, x^x+y^y \geq x^y + y^x$
157733
Are positive real numbers $x,y$ allowed to be taken out during this proof?
126032
Proving a certain inequality
106979
Prove the inequality and limitation
93076
When $\min \max = \max \min$?
150609
Triangle Inequality of the Cartesian product with Max function
3273
Trouble in proving that $\|x\|_p = \max|x_j|$
53112
Proving using AM-GM inequality
114844
Global maxima/minima of $f(x,y,z) = x+y+z$ in $A$
105268
prove inequality through mean value theorem