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What is the value of ? (1) = 4 (2) + 3 = 4

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Senior Manager
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What is the value of ? (1) = 4 (2) + 3 = 4 [#permalink] New post 27 May 2008, 14:32
What is the value of [x] ?
(1) [x + 3] = 4
(2) [x] + 3 = 4
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Re: Absolute Value [#permalink] New post 27 May 2008, 15:53
Vavali wrote:
What is the value of [x] ?
(1) [x + 3] = 4
(2) [x] + 3 = 4


(1) |x +3| = 4 can be broken up into two equations:
x + 3 = 4 AND x + 3 = -4

Thus, x = 1 OR x = -7 INSUFF


(2) |x| + 3 = 4 can also be broken up into two equations:
x = 4 - 3 AND x = 3 - 4

Thus x = 1 OR x = -1 But |x| will always = 1 SUFF

Answer: B
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Re: Absolute Value [#permalink] New post 27 May 2008, 17:01
^^ sure you didnt mean C ? :)
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Re: Absolute Value [#permalink] New post 27 May 2008, 23:58
That's exactly what I got C.

Does anyone care to shed more light on this :(
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Re: Absolute Value [#permalink] New post 28 May 2008, 00:04
brokerbevo wrote:
Vavali wrote:
What is the value of [x] ?
(1) [x + 3] = 4
(2) [x] + 3 = 4


(1) |x +3| = 4 can be broken up into two equations:
x + 3 = 4 AND x + 3 = -4

Thus, x = 1 OR x = -7 INSUFF


(2) |x| + 3 = 4 can also be broken up into two equations:
x = 4 - 3 AND x = 3 - 4

Thus x = 1 OR x = -1 But |x| will always = 1 SUFF

Answer: B



I've just had my Aha! moment. I now see why the answer is B.

in (1) [x] could be one of two values [x]= 1 or [x] = -7 meaning absolute value of [x] could be either 1 or 7

and in (2) [x] could either be x = 1 or x = -1 meaning absolute value of [x] is 1. sufficient.

Thanks! :lol: :lol:

but as we all know with absolute value
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Re: Absolute Value [#permalink] New post 28 May 2008, 07:20
Vavali wrote:
What is the value of [x] ?
(1) [x + 3] = 4
(2) [x] + 3 = 4


FYI can you use |x| instread of [x]?? Thx.

1: suff. X=1 or -1. |X|=1

2: could be 1 or 7. Insuff.
Re: Absolute Value   [#permalink] 28 May 2008, 07:20
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What is the value of ? (1) = 4 (2) + 3 = 4

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