SAT Mathematics : Working with Inequalities and Absolute Value

Study concepts, example questions & explanations for SAT Mathematics

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Example Questions

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Example Question #11 : Inequalities & Absolute Value

 

Which of the following is not a possible value for x given the inequality above?

Possible Answers:

15

25

24

12

Correct answer:

12

Explanation:

In order to simplify this inequality, we'll want to start by subtracting 12 from both sides to arrive at 

if we then multiply both sides of the inequality by 4 to cancel the coefficient in front of x, we get to 

Thus, 12 is not a possible value of x given the simplified inequality. 

Note - we could also solve this question by plugging each option in for x, but this route is likely somewhat more time consuming, so stay flexible in your approach on a question-to-question basis!

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