Final answer:
The situation where the number of goldfish that can live in a small tank is at most 6 can be represented by the inequality 'g ≤ 6'. This means up to 6 goldfish can live in the tank, but not more.
Step-by-step explanation:
The question asks to represent the situation, where the number of goldfish g that can live in a small tank is at most 6, in the form of an inequality. To represent this mathematically, we use the inequality g ≤ 6. This reads as 'g is less than or equal to 6', meaning that the tank can hold 6 goldfish at most, but could also hold fewer.
Let's breakdown the inequality: The symbol '≤' is used to depict 'at most'. If 'g' were greater than 6, then it would not be 'at most' 6, it would be more, which the tank cannot accommodate according to the situation given. Thus, having 'g ≤ 6' correctly represents the maximum capacity of the tank for goldfish without exceeding it.
In practical terms, this would mean that if you have this tank, you should not put more than 6 goldfish in it, but you can have any number from 0 to 6 inclusive. Providing the fish with enough space is important for their health and well-being.