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Re: If x^2 < x, which of the following could be a value of x?
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25 Apr 2017, 23:39
Hi All,
Already mathematical approach has been discussed in the above explanations,
So let me show you the plugging in or POE way,
Here plugging in or using POE-Process of Elimination is also actually very easy,
Also note this a could be question, so plugging in is a good option,
In the answer choices, straight away we can eliminate answer choice A and B, because x^2 is always positive for all the values of x (except 0),
So positive cannot be less than negative, so we can eliminate A and B. Answer options A and B both have negative values.
Looking at the other options, E is definitely out, because 25^2 is greater than 25.
Between C and D,
Option D is an improper fraction. So try to substitute the option in the given expression x^2<x,
25/16 > 5/4. So eliminated.
Option C is a proper fraction (numerator less than denominator), this has to be the answer, because all the other options are out.
Remember, for the proper fraction (for positive), x^2 < x always,
So option C, should be the answer.
So the answer has to be C here.
Hope this helps.