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GMAT Data Sufficiency (DS) | Re: Is 0 < m < 1?

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Bunuel wrote:

Is 0 < m < 1?

(1) m^2 is less than 1.

(2) m^2 < m


We need to determine whether m is between 0 and 1.

Statement One Alone:

m^2 is less than 1

We can simplify the information in statement one:

m^2 < 1

√m^2 < √1

Thus:

m < 1

or

-m < 1

m > -1

That is, -1 < m < 1. Thus, m is not necessarily between 0 and 1, since m could be between 0 and -1.
Statement one is not sufficient to answer the question.

Statement Two Alone:

m^2 < m

Since m^2 is less than
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