Quantitative review 2nd edition : DS 76.
Is x between 0 and 1?
(1) x^2 is less than x.
(2) x^3 is positive
Is x between 0 and 1? ---> is x a + fraction
(1) x^2 is less than x --> means x is a fraction because when fractions are squared, they are less then their original value
now if x was a (-) fraction, it would become greater than its original because its being squared. therefore x = (+) fraction
(2) completely meaningless. just tells you that x is a positive. don't know if its a fraction or an integer
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