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What is the value of x? (1) |x+2| ≤ 4 (2) x^2 = 36

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Joined: 02 Sep 2009
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What is the value of x? (1) |x+2| ≤ 4 (2) x^2 = 36 [#permalink]

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New post 07 Nov 2017, 22:28
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (00:37) correct 26% (00:51) wrong based on 65 sessions

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Kudos [?]: 135520 [0], given: 12697

Director
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Joined: 25 Feb 2013
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Re: What is the value of x? (1) |x+2| ≤ 4 (2) x^2 = 36 [#permalink]

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New post 08 Nov 2017, 06:35
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Bunuel wrote:
What is the value of x?

(1) |x+2| ≤ 4

(2) x^2 = 36


Statement 1: \(-4≤x+2≤4\)

or \(-6≤x≤2\). So there are multiple values of \(x\). Insufficient

Statement 2: \(x=-6\) or \(6\). Again multiple values. Insufficient

Combining 1 & 2 the only common value is \(x=-6\). Sufficient

Option C

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Re: What is the value of x? (1) |x+2| ≤ 4 (2) x^2 = 36 [#permalink]

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New post 12 Nov 2017, 19:50
The answer is C since x<= 2 or x<=-6 from 1st statement and from 2nd x<= +6 or -6. therefore combining x<= -6.

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Re: What is the value of x? (1) |x+2| ≤ 4 (2) x^2 = 36   [#permalink] 12 Nov 2017, 19:50
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What is the value of x? (1) |x+2| ≤ 4 (2) x^2 = 36

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