Final answer:
The inequality −10 - ¼x >> 20 − ½x can represent a scenario where an ice cream company needs to keep their product below the external temperature by at least 20 degrees for safe transit.
Step-by-step explanation:
A real-world problem that can be modeled by the inequality −10 - ¼x >> 20 − ½x could involve, for example, temperature control in a refrigerated shipping container. Here is a scenario that fits the inequality: An ice cream company must keep its product at or below a certain temperature while in transit. The temperature control system is set to maintain an internal temperature (T) of -10 degrees, but due to external factors like sunlight and ambient temperature, the temperature inside the container varies as a function of time (x), given by T = −10 - ¼x.
The company's safety standard requires that the temperature must remain at least 20 degrees lower than the external temperature (E), which rises over time and is given by E = 20 − ½x. The inequality ensures that the container's temperature is always below what's considered safe, regardless of the increase in outside temperature.