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Feb 12, 2024

Question

easy

The solution set of which of the following inequalities is shown on the number line above?

x2 ≥ 36

x2 ≤ 36

|x| ≤ 36

x ≤36

x ≥36

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Scott Woodbury-Stewart Founder and Expert GMAT Instructor Scott Woodbury-Stewart Founder and Expert GMAT Instructor

Text Solution:

On the number line, we see that the shaded region is between -6 and 6, and both -6 and 6 are included. Thus, this region represents the inequality −6≤x≤6 . Or, written another way, this inequality is − 36 ≤x≤ 36 . Using the patterns we observed in this section, we know this is the solution set of the inequality x 2 ≤36 .

Correct answer: B
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