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11 Aug 2010, 17:38
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Difficulty:
15%
(low)
Question Stats:
75% (00:58) correct
25%
(01:09)
wrong
based on 1522
sessions
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If |x+2| = 4, what is the value of x?
(1) \(x^2\neq{4}\)
(2) \(x^2=36\)
(1) \(x^2\neq{4}\)
(2) \(x^2=36\)
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11 Mar 2012, 10:27
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If |x+2|=4, what is the value of x ?
\(|x+2|=4\) --> \(x=2\) or \(x=-6\).
(1) \(x^2\neq{4}\) --> \(x^2\neq{4}\) --> \(x\neq{2}\) (and \(x\neq{-2}\)), so \(x=-6\). Sufficient.
(2) x^2 = 36 --> \(x=6\) or \(x=-6\), so \(x=-6\). Sufficient.
Answer: D.
\(|x+2|=4\) --> \(x=2\) or \(x=-6\).
(1) \(x^2\neq{4}\) --> \(x^2\neq{4}\) --> \(x\neq{2}\) (and \(x\neq{-2}\)), so \(x=-6\). Sufficient.
(2) x^2 = 36 --> \(x=6\) or \(x=-6\), so \(x=-6\). Sufficient.
Answer: D.
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