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If |x + 3| = 2, what is the value of x? (1) x < 0 (2) x^2 + 6x + 5 = 0

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Math Expert
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Joined: 02 Sep 2009
Posts: 52433
If |x + 3| = 2, what is the value of x? (1) x < 0 (2) x^2 + 6x + 5 = 0  [#permalink]

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New post 21 Sep 2018, 00:40
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

75% (01:04) correct 25% (01:19) wrong based on 63 sessions

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Re: If |x + 3| = 2, what is the value of x? (1) x < 0 (2) x^2 + 6x + 5 = 0  [#permalink]

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New post 21 Sep 2018, 00:57
Bunuel wrote:
If |x + 3| = 2, what is the value of x?


(1) x < 0
(2) x^2 + 6x + 5 = 0


|x + 3| = 2 i.e. x = -1 or -5

Question: Whar is the value of x?

Statement 1: x < 0

x may still be -1 or -5 hence

NOT SUFFICIENT

Statement 2: x^2 + 6x + 5 = 0

i.e. (x+5)*(x+1) = 0
i.e. x = -5 or -1
x may still be -1 or -5 hence

NOT SUFFICIENT

Answer: Option E
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Re: If |x + 3| = 2, what is the value of x? (1) x < 0 (2) x^2 + 6x + 5 = 0  [#permalink]

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New post 21 Sep 2018, 00:57
    Bunuel wrote:
    If |x + 3| = 2, what is the value of x?


    (1) x < 0
    (2) x^2 + 6x + 5 = 0


    As all we're given is equations, we'll work with them.
    This is a Precise approach.

    |x + 3 |= 2 simplifies to x = -1 or x = -5.
    (1) x<0 does not help us separate between the two.
    Insufficient!

    (2) x^2 + 6x + 5 = 0 simplifies into (x+5)(x+1) = 0 so x = -1 or x = -5. This still does not help us separate the two options.
    Insufficient!

    Combined:
    We have no new information and cannot separate the two answers.

    (E) is our answer.
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    Re: If |x + 3| = 2, what is the value of x? (1) x < 0 (2) x^2 + 6x + 5 = 0 &nbs [#permalink] 21 Sep 2018, 00:57
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    If |x + 3| = 2, what is the value of x? (1) x < 0 (2) x^2 + 6x + 5 = 0

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