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Easy|   Algebra|      
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Sajjad1994
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Quantity A: x^2 + 3, Quantity B: 3x - 2 27 Sep 2025, 01:01
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Quantity A
\(x^2 + 3\)

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\(3x - 2\)
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A
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Shreyaarora
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Quantity A: x^2 + 3, Quantity B: 3x - 2 27 Sep 2025, 01:43
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hi sajjad- sorry what's the question here? are we supposed to compare the two quantities?
Sajjad1994
Quantity A
\(x^2 + 3\)

Quantity B
\(3x - 2\)
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Sajjad1994
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Quantity A: x^2 + 3, Quantity B: 3x - 2 27 Sep 2025, 01:58
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Shreyaarora
hi sajjad- sorry what's the question here? are we supposed to compare the two quantities?

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This is a GRE quantitative comparison question and yes we have to compare the two quantities.
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Quantity A: x^2 + 3, Quantity B: 3x - 2 Updated on: 29 Sep 2025, 08:24
Originally posted by Sajjad1994 on 29 Sep 2025, 08:16.
Last edited by Sajjad1994 on 29 Sep 2025, 08:24, edited 1 time in total.
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Official Explanation

Graph the equations \(y = 3x – 2\) and \(y = x^2 + 3\) in the xy-plane, noting that the first is a line with slope 3 and y-intercept (0, –2), and that the second is an upward pointed parabola with yintercept (0, 3). The parabola is always above the line, having a greater y value, so \(x^2 + 3 > 3x – 2\) for all values of x. (A).



*Plug in numbers for x. For x < 0, (A) is positive, while (B) is negative, so (A) is greater. If \(x = 0,\) then (A) \(= 3 >\) (B) \(= –2.\) If \(x = 1,\) then (A) \(= 4 > \) (B) \(= 1.\) For large values of \(x, x^2 > 3x,\) so (A) is greater.

Answer: A
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