Let 'h' represent the number of hours that Charles will work. Since he wants to work for at least six hours, then we have the following inequality:
[tex]6\le h[/tex]but he also must work fewer than 16 hours this week, then the next inequality is:
[tex]h\le16[/tex]then, combining the inequalities, we have:
[tex]6\le h\le16[/tex]