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If x^2 < x, then x must be

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by BTGmoderatorDC » Sat Jan 23, 2021 3:57 pm
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If x^2 < x, then x must be

A. less than 0
B. equal to 0
C. between 0 and 1
D. equal to 1
E. greater than 1


OA C

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Re: If x^2 < x, then x must be

by Scott@TargetTestPrep » Mon Feb 08, 2021 11:28 am
BTGmoderatorDC wrote: ↑
Sat Jan 23, 2021 3:57 pm
 If x^2 < x, then x must be

A. less than 0
B. equal to 0
C. between 0 and 1
D. equal to 1
E. greater than 1


OA C

Solution:

If x^2 < x, then x is between 0 and 1. For example, if x = 1/2, we have (1/2)^2 = 1/4 < 1/2. (On the other hand, if x is not between 0 and 1, then x^2 ≥ x.)

Answer: C

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