I am trying to prove this statement.
for any $a,b \in \mathbb{R}$, $\max\{a,b\}=\frac{1}{2}\big(a+b+|a-b|\big)$ and $\min\{a,b\}=\frac{1}{2}\big(a+b-|a-b|\big)$
I am eating myself not knowing where and how to start. For any guidance Iwill be thankful in tons