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

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Math Expert
Joined: 02 Sep 2009
Posts: 43785
What is the value of x? (1) |x+2| ≤ 4 (2) x^2 = 36 [#permalink]

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07 Nov 2017, 22:28
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74% (00:38) correct 26% (00:50) wrong based on 95 sessions

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What is the value of x?

(1) |x+2| ≤ 4

(2) x^2 = 36
[Reveal] Spoiler: OA

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Joined: 25 Feb 2013
Posts: 919
Location: India
GPA: 3.82
Re: What is the value of x? (1) |x+2| ≤ 4 (2) x^2 = 36 [#permalink]

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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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Joined: 06 Feb 2015
Posts: 7
Location: United States
Re: What is the value of x? (1) |x+2| ≤ 4 (2) x^2 = 36 [#permalink]

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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.
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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