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

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Math Expert
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Joined: 02 Sep 2009
Posts: 49320
What is the value of x? (1) |x+2| ≤ 4 (2) x^2 = 36  [#permalink]

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New post 07 Nov 2017, 23:28
1
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (00:37) correct 26% (00:49) wrong based on 109 sessions

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Joined: 25 Feb 2013
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Location: India
GPA: 3.82
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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, 07:35
2
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, 20:50
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 &nbs [#permalink] 12 Nov 2017, 20:50
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