Answer:
See explanation
Step-by-step explanation:
Use definition of the absolute value of the number x:
[tex]|x|=\left\{\begin{array}{l}x,\ x\ge 0\\-x,\ x<0\end{array}\right.[/tex]
1. When [tex]w<4,[/tex] then [tex]w-4<0[/tex]
so using the definition,
[tex]|w-4|=-(w-4)=4-w[/tex]
2. When [tex]w\ge 4,[/tex] then [tex]w-4\ge 0[/tex]
so using the definition,
[tex]|w-4|=w-4[/tex]
