Chapter 2 - Section 2.1 - Introduction to Integers - Exercise Set - Page 105: 80

$-|-8|\lt -|-4|$

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, $a=-|-8|=-8,$ $b=-|-4|=-4,$ Since $a-b=(-8)-(-4)=-8+4=-4\lt0,$ Then $a\lt b,$ Therefore, $-|-8|\lt -|-4|$