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Test
Math
Domain
Algebra
Skill
Linear inequalities in one or two variables
Difficulty
Easy
ID: 7d6928bd
Modded SAT Question Bank by Abdullah Mallik

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?

  1. f+h14

  2. f+h14

  3. f-h14

  4. f-h14


Tip: Press CTRL/Command to toggle answer
Correct Answer: A
Rationale

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+h14 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.

Question Difficulty: Easy
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