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f(b)-f(c)

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Carcass
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f(b)-f(c) [#permalink] New post   16 May 2021, 02:42
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Attachment:
GRE f(b)-f(c).jpg
GRE f(b)-f(c).jpg [ 21.42 KiB | Viewed 1935 times ]
Quantity A
Quantity B
\(f(b)-f(c)\)
\(f(a)-f(d)\)


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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A
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KarunMendiratta
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Re: f(b)-f(c) [#permalink] New post   16 May 2021, 02:55
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Carcass wrote:
Attachment:
GRE f(b)-f(c).jpg
Quantity A
Quantity B
\(f(b)-f(c)\)
\(f(a)-f(d)\)


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.


From the graph, we can say that f(a) < f(b) and f(c) < f(d)

Adding both the inequalities;
f(a) + f(c) < f(b) + f(d)

Col. A: f(b) - f(c)
Col. B: f(a) - f(d)

Adding f(c) and f(d) to both sides;

Col. A: f(b) + f(d)
Col. B: f(a) + f(c)

Hence, option A
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Re: f(b)-f(c) [#permalink] New post   05 Aug 2022, 05:16
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Can be solved visually by just looking at how far apart on the y-axis the values of f(x) are at points a,b,c,d.

f(b) - f(c) : These two points are pretty far apart, implying that the magnitude of this expression is bigger.
f(a) - f(d) : These two points are not as far apart, implying that the magnitude of this expression is relatively smaller.

Hence, A.
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Re: f(b)-f(c) [#permalink]
05 Aug 2022, 05:16
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