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If x(x - 5)(x + 2) = 0, is x negative?

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If x(x - 5)(x + 2) = 0, is x negative? [#permalink] New post 17 Jan 2010, 09:43
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If x(x - 5)(x + 2) = 0, is x negative?

(1) x^2 – 7x ≠ 0
(2) x^2 –2x –15 ≠ 0
[Reveal] Spoiler: OA
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Re: inequality [#permalink] New post 17 Jan 2010, 12:24
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vaivish1723 wrote:
If x(x - 5)(x + 2) = 0, is x negative?
(1) x^2 – 7x ≠ 0
(2) x^2 –2x –15 ≠ 0


OA is
[Reveal] Spoiler:
c


Pl explain.


x(x - 5)(x + 2) = 0 --> x=0 or x=5 or x=-2. Question is x<0 or is x=-2?

(1) x^2 – 7x ≠ 0 --> x(x-7)\neq{0}--> x\neq{0} and x\neq{7}, so x can be 5 or -2 (from the stem as x=0 is out). Not sufficient.

(2) x^2 –2x –15 ≠ 0 --> (x+3)(x-5)\neq{0} --> x\neq{-3} and x\neq{5}, so x can be 0 or -2 (from the stem as x=5 is out). Not sufficient.

(1)+(2) As x=0 and x=5 are out, only value left is x=-2, so x is negative. Sufficient.

Answer: C.
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Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink] New post 03 Jul 2013, 00:17
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Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink] New post 04 Jul 2013, 07:23
For the given equation to be equal to 0 x must either equal 0, 5 or -2.

Statement 1: Tells us that x cannot equal 0 or 7. But it could equal 5 or -2. Not sufficient
Statement 2: Tells us that x cannot equal 5 or -3. But it could equal -2 or 0.

Taken together x cannot equal 0 or 5. Therefore, x must equal -2. Answer: C
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Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink] New post 30 Dec 2013, 21:20
vaivish1723 wrote:
If x(x - 5)(x + 2) = 0, is x negative?

(1) x^2 – 7x 0
(2) x^2 –2x –15 0


We definitely need to bold or make larger the not equals symbol in the question. From a distance it looks like an equals symbol.
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Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink] New post 18 Oct 2014, 12:49
Either X = 0 OR X = 5 OR X = -2 . Is X = -2?

1. X cannot be 0 or 7 ==> X can be 5 or -2. NS
2. X cannot be 5 or -3 ==> X can be 0 or -2. NS

1&2. X cannot be 0 or 5 so X = -2, Sufficient.

ANSWER: C

vaivish1723 wrote:
If x(x - 5)(x + 2) = 0, is x negative?

(1) x^2 – 7x ≠ 0
(2) x^2 –2x –15 ≠ 0

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Re: If x(x - 5)(x + 2) = 0, is x negative?   [#permalink] 18 Oct 2014, 12:49
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