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Linear inequalities in one or two variables SAT question

Math · Algebra · Easy · Answer it here, explanation included.

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

ExplanationShow

Choice A is correct. It's given that the cleaning service cleans both offices and homes, where is the number of offices and is the number of homes the cleaning service can clean per day. Therefore, the expression represents the number of places the cleaning service can clean per day. It's also given that the cleaning service can clean at most places per day. Since represents the number of places the cleaning service can clean per day and the service can clean at most places per day, it follows that the inequality  represents this situation.

Choice B is incorrect. This inequality represents a cleaning service that cleans at least places per day.

Choice C is incorrect. This inequality represents a cleaning service that cleans at most more offices than homes per day.

Choice D is incorrect. This inequality represents a cleaning service that cleans at least more offices than homes per day.

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