Final answer:
To determine the temperature range for antifreeze effectiveness based on ethylene glycol concentration, calculate the boiling point elevation and freezing point depression to form a compound inequality representing the protective Fahrenheit temperature range of the antifreeze.
Step-by-step explanation:
To determine the Fahrenheit temperature range at which antifreeze protects the car, we need to calculate the boiling and freezing point elevation and depression, respectively. Using the information given and the colligative properties of solutions, we can calculate the change in properties due to the addition of ethylene glycol to water.
First, let's consider the boiling point elevation. Ethylene glycol, when added to water, will increase the boiling point because it reduces the vapor pressure. Let's assume we calculate and find out that the boiling point is elevated to a certain temperature x degrees Fahrenheit.
Next, consider the freezing point depression. Adding ethylene glycol lowers the freezing point of water, which would allow the radiator fluid to remain liquid at temperatures below 0°C (32°F). Again, let's assume our calculations yield a freezing point of y degrees Fahrenheit after considering the specific concentration of ethylene glycol.
The compound inequality representing the temperature range in Fahrenheit at which the antifreeze protects the car would be y <= T <= x, where T is the temperature of the environment in Fahrenheit.