Final answer:
Water is a liquid on the Fahrenheit scale between the temperatures of 32°F (exclusive) and 212°F (exclusive), represented using interval notation as (32, 212).
Step-by-step explanation:
The temperatures at which water is a liquid on the Fahrenheit scale are from just above 32°F to just below 212°F. Using interval notation, we can express this range as (32, 212). In terms of temperature states, water is a solid, such as ice, below 32°F.
At temperatures between 32°F and 212°F, water is in its liquid state, and above 212°F, water turns into a gas or steam. Therefore, the interval where water remains a liquid on the Fahrenheit scale is represented by the numbers between its freezing point and its boiling point, excluding the points where the phase changes occur.