BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

If \(|x| < x^2,\) which of the following must be true?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

Re: If \(|x| < x^2,\) which of the following must be true?

by Brent@GMATPrepNow » Sat Nov 27, 2021 7:18 am
Vincen wrote: ↑
Fri May 28, 2021 6:53 am
 If \(|x| < x^2,\) which of the following must be true?

A. \(x > 0\)
B. \(x < 0\)
C. \(x > 1\)
D. \(-1 < x < 1\)
E. \(x^2 > 1\)

Answer: E

Source: GMAT Prep
I find that these questions can be solved quickly (and accurately) by testing values.

For example, if |x| < x², then x could equal 2 (since |2| < 2²)
This means we can eliminate choices B and D since they state that x cannot equal 2.

Similarly, if |x| < x², then x could equal -2 (since |-2| < (-2)²)
This means we can eliminate choices A and C since they state that x cannot equal -2.

By the process of elimination, the correct answer is E
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Post new topic Post Reply
• Page 1 of 1