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x < 0
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Updated on: 27 Dec 2018, 09:47
Updated on: 27 Dec 2018, 09:47
Expert Reply
00:00
Question Stats:
61% (00:29) correct
38% (00:28) wrong based on 63 sessions
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\(x < 0\)
Quantity A |
Quantity B |
\(x^2 - x^5\) |
\(0\) |
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
Re: x < 0
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Updated on: 16 May 2018, 05:40
Updated on: 16 May 2018, 05:40
if X is negative then if we suppose entity A will be over all positive then A is greater than B.
Re: x < 0
[#permalink]
16 May 2018, 03:03
16 May 2018, 03:03
1
Expert Reply
IshanGre wrote:
if X is negative the if we suppose entity A will be over all positive then A is greater than B.
This is actually a tricky question
Given that x<0
Quantity A: \(x^2-x^5 = x^2(1-x^3)\) now \(x^2\) is always positve as \(x \neq 0\) but \(1-x^3\) may or maynot be positive.
If \(|x| > 0\) then \(1-x^3\) is negative.
Try plugging values: \(x=-0.5\)
Quanity A: 0.21875 here quantity A is greater.
\(x=-1.5\)
Quanity A: -5.34375 here quantity B is greater.
Hence the correct option is D.
