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xy+2 or (x+7)(y-3)
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14 Jan 2024, 23:46
14 Jan 2024, 23:46
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Quantity A |
Quantity B |
\(xy+2\) |
\( (x+7)(y-3)\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: xy+2 or (x+7)(y-3)
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16 Jan 2024, 11:05
16 Jan 2024, 11:05
1
I think the equations are simple enough where plugging in a few values for x and y would be the quickest strategy here.
My general approach with plugging in values is to use 0, positive, and negative values.
If x = 0 and y = 0:
Quantity A = (0)(0) + 2 = 2
Quantity B = (0+7)(0-3) = 7 * -3 = -21
A > B
If x = 1 and y = 4:
Quantity A = (1)(4) + 2 = 6
Quantity B = (1+7)(4-3) = 8 * 1 = 8
A < B
Since there are possible values of x and y that give us multiple relationships between Quantity A and B, the answer is D.
My general approach with plugging in values is to use 0, positive, and negative values.
If x = 0 and y = 0:
Quantity A = (0)(0) + 2 = 2
Quantity B = (0+7)(0-3) = 7 * -3 = -21
A > B
If x = 1 and y = 4:
Quantity A = (1)(4) + 2 = 6
Quantity B = (1+7)(4-3) = 8 * 1 = 8
A < B
Since there are possible values of x and y that give us multiple relationships between Quantity A and B, the answer is D.
gmatclubot
Re: xy+2 or (x+7)(y-3) [#permalink]
16 Jan 2024, 11:05
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