Chapter 2 - Section 2.1 - Introduction to Integers - Exercise Set - Page 105: 72

$-|17|\lt-(-17)$

If $a-b \lt 0$, then $a \lt b;$ If $a-b \gt 0$, then $a \gt b;$ If $a-b = 0$, then $a=b;$ In this problem, $a=-|17|,$ $b=-(-17)=17,$ Since $a-b=-|17|-17=-17-17=-34\lt0,$ Then $a\lt b,$ Therefore, $-|17|\lt -(-17)$