A cleaning service that cleans both offices and homes can clean at most 14 places per day. Which inequality represents

Question

A cleaning service that cleans both offices and homes can clean at most 14 places per day. Which inequality represents this situation, where f is the number of offices and h is the number of homes?

Accepted Answer

Choice A is correct. It's given that the cleaning service cleans both offices and homes, where f is the number of offices and h is the number of homes the cleaning service can clean per day. Therefore, the expression f + h represents the number of places the cleaning service can clean per day. It's also given that the cleaning service can clean at most 14 places per day. Since f + h represents the number of places the cleaning service can clean per day and the service can clean at most 14 places per day, it follows that the inequality f + h &#8804; 14 represents this situation. Choice B is incorrect. This inequality represents a cleaning service that cleans at least 14 places per day. Choice C is incorrect. This inequality represents a cleaning service that cleans at most 14 more offices than homes per day. Choice D is incorrect. This inequality represents a cleaning service that cleans at least 14 more offices than homes per day.

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