What is x?
(1) |x| < 2
(2) |x| = 3x - 2
OA is not E.
GMAT Forum
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- golfrules12
- shaji
Re: MGMAT Absolute...
The correct answer is B. since the equation has one and only feasible solution; which is x=1.
golfrules12@hotmail.com Wrote:What is x?
(1) |x| < 2
(2) |x| = 3x - 2
OA is not E.
- RonPurewal
- Students
- Posts: 19744
- Joined: Tue Aug 14, 2007 8:23 am
Part 1 is most definitely insufficient, because it allows x to take on any value between -2 and 2. (Note that non-integer values are acceptable; this condition does NOT restrict x to the integer values -1, 0, 1.)
Part 2: Absolute value equations are solved by splitting them into 2 sub-equations: one with the absolute-value bars removed, and one with the bars removed and the expression from the bars replaced by its opposite. Also, you have to CHECK solutions to absolute-value equations.
The first equation is x = 3x - 2; solution = 1. Check: yes, valid
The second equation is -x = 3x - 2; solution = 1/2. Check: not valid (the original equation becomes 1/2 = 3/2 - 2, which is not true).
Therefore, part 2 can be rephrased as "x = 1."
Answer = B
Part 2: Absolute value equations are solved by splitting them into 2 sub-equations: one with the absolute-value bars removed, and one with the bars removed and the expression from the bars replaced by its opposite. Also, you have to CHECK solutions to absolute-value equations.
The first equation is x = 3x - 2; solution = 1. Check: yes, valid
The second equation is -x = 3x - 2; solution = 1/2. Check: not valid (the original equation becomes 1/2 = 3/2 - 2, which is not true).
Therefore, part 2 can be rephrased as "x = 1."
Answer = B
5 posts Page 1 of 1