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If x ≠ 0, then sqrt(x^2) / x = (a) -1 (b) 0

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If x ≠ 0, then sqrt(x^2) / x = (a) -1 (b) 0  [#permalink] New post 28 Oct 2006, 08:50
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A
B
C
D
E

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If x ≠ 0, then sqrt(x^2) / x =

(a) -1
(b) 0
(c) 1
(d) x
(e) |x|/x

Explanation with your answer appreciated. Will post OA later.
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 [#permalink] New post 28 Oct 2006, 08:53
E

because if x < 0 it will end up as x / -x = -1, if x > 0 it will be x / x = 1.

therefore |x|/x is correct notation.
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 [#permalink] New post 31 Oct 2006, 00:39
OA is E. Good job, guys.

I chose C. I guess the absolute sign made me carelessly forget that the x in the denominator can be negative.
  [#permalink] 31 Oct 2006, 00:39
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If x ≠ 0, then sqrt(x^2) / x = (a) -1 (b) 0

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