GMAT Data Sufficiency (DS) | Re: Is y^3 < |y|

\(y^3 < |y|\)

(1)\(y < 1\)

Consider\(y = \frac{1}{2}\)

\({\frac{1}{2}}^3 < {|\frac{1}{2}|}\)

\({\frac{1}{8}} < {\frac{1}{2}}\) ==> TRUE

Lets check for ZERO aswell

\({0}^3 ≤ |0| = 0 = 0\) ==> FALSE

Now, lets check for Negative values as well, as we know that mod/absolute function will always give us positive values and cube of negative will always give us negative values, our L.H.S. Should always be < R.H.S. Lets test

\({\frac{-1}{2}}^3 < {|\frac{-1}{2}|}\)
\( {\frac{-1}{8} } <{\frac{1}{2} } \)
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