To write the inequality for the maximum hours Connor can work, we must consider the constraint on the total hours. If $x$ represents the number of hours washing cars and $y$ represents the number of hours tutoring, then the inequality for the maximum hours he can work is:

$x + y \leq 14$

This inequality ensures that the total number of hours Connor works does not exceed the 14-hour weekly limit.

Do you have any questions or would you like further details?

Here are five related questions to expand your understanding:

1. How would you write an inequality representing the income Connor must earn to meet the $160 requirement?
2. If Connor spends all his time tutoring, how many hours can he tutor while staying within the 14-hour limit?
3. What is the relationship between $x$ and $y$ if Connor decides to work exactly 14 hours?
4. How do the hourly rates affect Connor’s earnings if he prioritizes one job over the other?
5. How can you graphically represent these inequalities on a coordinate plane?

Tip: When dealing with problems involving multiple constraints, always write each constraint as a separate inequality before combining them if necessary.