Max@Math Revolution wrote:Is |x-y|<|x-z|?
1) |y|<|z|
2) x<0
|a-b| = the DISTANCE between a and b on the number line.
Question stem, rephrased:
On the number line, is the distance between x and y less than the distance between x and z?
In other words:
On the number line, is x closer to y than to z?
Both statements are satisfied by the following cases:
.....x=-3.....y=-2..............................z=3......
.....x=-3.....z=-2.....y=-1.............................
In the first case, x is closer to y than to z, so the answer to the question stem is YES.
In the second case, x is closer to z than to y, so the answer to the questions stem is NO.
Since the answer is YES in the first case but NO in the second case, the two statements combined are INSUFFICIENT.
The correct answer is
E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
