Final answer:
The inequality that represents the seating situation in the new restaurant, where there is already a private chef's table for 2 and the owner plans to buy m tables that seat 4 each, is 2 + 4m > 68.
Step-by-step explanation:
To represent the seating situation at the new restaurant using an inequality, we need to consider the total number of seats the owner wants and the contribution of each table to that total. We start with the private chef's table that seats 2 people, plus the additional tables that the owner plans to buy, where each table seats 4 people.
Let's use the variable m for the number of tables the owner will buy.
The total seating must be more than 68 people. So the inequality representing the situation would be the number of seats from the chef's table + the number of seats from the m tables should be greater than 68.
Therefore, our equation for total seats required is 2 (from the private chef's table) + 4m (4 seats for each of the m tables the owner buys), which must be greater than 68: 2 + 4m > 68
This inequality correctly represents the number of people the restaurant owner wants to seat, being more than 68.