[Numeric Entry Question]

Define xy by the equation xy = xy − y. Then 2∇3 =

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(A) 1
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Introduction to Nova GRE Math

 
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Posted: 02/09/2012 12:54
What do the symbols represent?
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Posted: 02/10/2012 10:13
Aaron Perez, the symbol ∇ is an example of a mathematical operator. An operator can be arbitrarily defined as anything by the author, and in this problem ∇ is defined as x∇y = xy - y. All you gotta do in problems like this is to plug in the given variables based on the definition.

Hence, 4∇ 6 means (4 is x and 6 is y) 4⋅6 - 6 = 24 - 6 = 18. I hope that answers the question about the operator ∇'s meaning. Now try working out 2∇3. The answer is ...
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Posted: 02/10/2012 09:12
There are numerous errors in your example. The eqn. s/b 4*6-6=18. Thx in advance for making the corrections.
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Posted: 02/10/2012 10:13
Carol Perkins, thank you for catching the error. It is now corrected. If you catch other errors, please post again.