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PDF800 SET3 Question 5

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Senior | Next Rank: 100 Posts
Posts: 56
Joined: Tue Feb 13, 2007 6:19 am
by zozo123 » Wed Aug 01, 2007 2:49 am
Is |x|< 1?
(1) |x + 1| = 2|x - 1|
(2) |x - 3| &#8800; 0

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

The answer is C, please explain me how can I resolve it?
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Source: — Data Sufficiency |
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Master | Next Rank: 500 Posts
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Re: PDF800 SET3 Question 5

by givemeanid » Wed Aug 01, 2007 7:04 am
zozo123 wrote:Is |x|< 1?
(1) |x + 1| = 2|x - 1|
(2) |x - 3| &#8800; 0

The answer is C, please explain me how can I resolve it?

1. x+1 = 2(x-1)
x+1 = 2x-2
x=3
OR
x+1 = -2(x-1)
x+1 = -2x+2
3x = 1
x=1/3

NOT SUFFICIENT.


2. x-3 &#8800; 0
x &#8800; 3
x = 1/3, |x| < 1. True.
x = 5 |x| > 1. False.

NOT SUFFICIENT.


Together, only x=1/3 satisfies both. Hence, SUFFICIENT. Answer is C.
So It Goes
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