[tex]-6w-16>44[/tex]
Add both sides by 16
[tex]-6w>60[/tex]
Divide both sides by -6 (Note: Since we're dividing by a negative number, the inequality symbol needs to be reversed)
[tex]w<-\dfrac{60}{6}[/tex]
[tex]w<10[/tex]
This is the solution to the inequality. Let me know if you need any clarifications, thanks!