In the cafeteria, there is one large table with 10 seats and many smaller tables with 4 seats. The cafeteria has a fire code restriction that the room can hold a maximum of 70 students. If a student is seated at every seat at each table, how many small tables can be in the cafeteria without breaking the fire code?

To determine how many small tables can fit in the cafeteria without violating the fire code, we start by considering the seating capacity of the tables.

1. The large table has 10 seats.
2. Each small table has 4 seats.

Let \( x \) be the number of small tables. The total number of seats in the cafeteria can be expressed as follows:

\[ \text{Total seats} = 10 + 4x \]

According to the fire code, the total number of seats must not exceed 70:

\[ 10 + 4x \leq 70 \]

Now, we can rewrite the inequality to isolate \( x \):

1. Subtract 10 from both sides: \[ 4x \leq 60 \]

2. Divide both sides by 4: \[ x \leq 15 \]

This means the maximum number of small tables that can be in the cafeteria without violating the fire code is 15.

The inequality that represents the situation is:

\[ 10 + 4x \leq 70 \]

This correctly describes the seating configuration of the cafeteria in relation to the fire code.