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For all integers

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For all integers [#permalink] New post   10 Feb 2021, 10:23
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For all integers \(a\) and \(b\), \(a \vartriangle b = ab + 2(a+b)\)


Quantity A
Quantity B
\( \frac{1}{1 \vartriangle 2 }\)
\((0 \vartriangle 1 )^ {-3}\)



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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C
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For all integers [#permalink] New post   10 Feb 2021, 19:37
2
\(a \vartriangle b = ab + 2(a+b)\)

Qt A

\(1 \vartriangle 2\)

= 1*2 + 2(1+2)
= 2 + 6
= 8

Qt A = \(\frac{1}{8}\)

Qt B

\(0 \vartriangle 1\)

= 0*1 + 2(0+1)
= 2

Now, \((2)^ {-3}\)

= \(\frac{1}{8}\)

Qt A = Qt B

Answer C
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Re: For all integers [#permalink] New post   24 Oct 2024, 02:45
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: For all integers [#permalink]
24 Oct 2024, 02:45
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