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y = (x+3)(x-2)(x+5), is x negative? (1) y = 0 (2) x does not

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y = (x+3)(x-2)(x+5), is x negative? (1) y = 0 (2) x does not [#permalink] New post 06 Dec 2005, 02:10
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y = (x+3)(x-2)(x+5), is x negative?

(1) y = 0
(2) x does not equal to 2
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Joined: 14 Sep 2005
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 [#permalink] New post 06 Dec 2005, 02:28
y = (x+3)(x-2)(x+5), is x negative?

(1) y = 0
(2) x does not equal to 2

From statement 1:

If y equals 0, x should be -3, 2, or -5. x could be positive or negative.
Not sufficient.

From statement 2:

If x is not 2, x could be any number since y is not defined.
Not sufficient.

From statement 1 & 2:
If y equals 0 and x is not 2, x should be -3 or -5, both of which are negative.
Sufficient.

I pick (C).
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 [#permalink] New post 06 Dec 2005, 21:30
1. Solutions for equation x1=-3, x2=2, x3=-5 insufficinet.
2. insufficient.

Combining both, x=-3, -5 Sufficient to say x<0. C.
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  [#permalink] 06 Dec 2005, 21:30
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y = (x+3)(x-2)(x+5), is x negative? (1) y = 0 (2) x does not

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