Absolute value & Inequality

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Source: — Data Sufficiency |

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by suryapal » Fri Apr 02, 2010 10:02 am
my answer is E ... is it ???

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by Stuart@KaplanGMAT » Fri Apr 02, 2010 10:27 am
boazkhan wrote:Is |a| + |b| > |a + b| ?

(1) a^3 > b^3

(2) b < 0
Step 1 of the Kaplan Method for DS: Analyze the Stem

When will the left side be greater than the right side?

Well, if a and b have the same sign, then the two sides will be equal.

If a and b have different signs, then the right side will be bigger.

So, here's the real question:

Do a and b have the same sign?

(1) a and b could both be positive or a could be positive and b negative: insufficient.

(2) nothing about a: insufficient.

Together: they could both be negative or a could be positive and b negative: still insufficient, choose E.
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by boazkhan » Fri Apr 02, 2010 1:11 pm
Thanks Stuart!

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by Stuart@KaplanGMAT » Fri Jun 25, 2010 9:14 pm
Minor edit (thanks to viidyasagar) for noticing:

if the signs are different, the left side will be bigger, not the right side (the solution is the same).
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