Inequality problems on the GED Math test often involve isolating a variable, but they may also simply ask you to convert a statement into its equivalent mathematical form. The following practice questions ask you to do both.

Practice Questions

  1. What is the correct way of writing "x is less than 5 but greater than or equal to –3"?
  2. Anne plans to spend no more than $60 ordering socks for school. The online sock company charges a shipping fee of $15 for any order. The inequality


    represents the number of pairs of socks Anne can order from the company. What is the maximum number of pairs of socks that Anne can buy?

Answers and Explanations

  1. The correct answer is C.

    Deal with each part of the statement separately: "x is less than 5" can be written as x < 5, and "x is greater than or equal to –3" can be written as


    Now combine both statements by placing x in the middle:


    Hence, Choice (C) is correct.

  2. The correct answer is 9.

    The inequality


    represents the number of pairs of socks Anne can order from the company. Subtracting 15 from each side of the inequality gives you


    This can be reduced further by dividing both sides by 5, giving you


About This Article

This article is from the book:

About the book author:

Stuart Donnelly, PhD, earned his doctorate in mathe-matics from Oxford University at the age of 25. Since then, he has established successful tutoring services in both Hong Kong and the United States and is considered by leading educators to be one of the most experienced and qualified private tutors in the country.

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