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inequalities

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by resilient » Thu Apr 03, 2008 7:56 pm
b does not equal zero and a>b, is A>C?

1. a/b>a/c


2. 5ab>6bc


qa is e


however: why dont the b's cancel out on both statements?
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Source: — Data Sufficiency |
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Re: inequalities

by Stuart@KaplanGMAT » Thu Apr 03, 2008 9:13 pm
Enginpasa1 wrote:b does not equal zero and a>b, is A>C?

1. a/b>a/c


2. 5ab>6bc


qa is e


however: why dont the b's cancel out on both statements?
Whenever you see an inequality, you should think to yourself "I better watch out for negatives!"

The reason we can't "cancel out" the Bs is because the method we actually use to "cancel out" is to multiply or divide both sides of the inequality by b. Since we don't know if b is positive or negative, we don't know what happens to the inequality.

For example, looking at statement (1):

a/b > c/b

To eliminate b, we need to multiply both sides by b.

If b>0, nothing funny happens and we end up with a > c.

however, if b<0 and we multiply both sides by b, we have to remember to swap the inequality, and we end up with a < c.
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ok

by resilient » Thu Apr 03, 2008 10:20 pm
crystal clear! I have learned a ton!
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Inequalities

by [email protected] » Sun Apr 06, 2008 5:42 pm
I usally stumble a lot on inequalities .

Any suggestions on more guidelines that i can follow.


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hello

by resilient » Sun Apr 06, 2008 6:34 pm
peer,

its best to listen to Stuart but also draw out the information also!
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by sampleresume » Mon Apr 07, 2008 11:19 pm
thanks.
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