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

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Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink]
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]
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.

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]
I did silly mistake in factorising - (2) "x^2 –2x –15 ≠ 0" - marked B
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Re: If x(x - 5)(x + 2) = 0, is x negative? [#permalink]
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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

(1) $$x(x-7) ≠ 0$$

x ≠ 0, 7

INSUFFICIENT.

(2) $$x^2-2x-15≠0$$
x ≠ 5, -3

INSUFFICIENT.

(1&2) We're told $$x(x - 5)(x + 2) = 0$$
x ≠ 5, 0. Therefore x must be -2. SUFFICIENT.

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