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Dec 12, 2025

Question

easy

If x 2 +10>110 , which of the following could be the value of x?

I. 8

II. -10

III. -12

II only

III only

II and III only

I and III only

I, II, and III
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PRESENTED BY :
Scott Woodbury-Stewart Founder and Expert GMAT Instructor Scott Woodbury-Stewart Founder and Expert GMAT Instructor

Text Solution:

Let’s solve the inequality for x.

⇒ x 2 +10>110 ⇒ x 2 >100

Using the patterns we observed earlier, since x 2 >100 , |x| > 10.

In other words, either x>10 or x<−10 . The only choice that works is -12 because -12 is less than -10. The choices 8 and -10 are neither greater than 10 nor less than -10.

Correct answer: B
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