VJesus12 wrote:On the number line, are the points x and y on the same side of zero?
(1) x and y are equidistant from zero
(2) The sum of the distances from x to 1 and from y to 1 is less then 1.
Statement 1: x and y are equidistant from zero
Case 1: x=1 and y=1, with the result that x and y are both one place from 0
In this case, the answer to the question stem is YES.
Case 1: x=-1 and y=1, with the result that x and y are both one place from 0
In this case, the answer to the question stem is NO.
INSUFFICIENT.
Statement 2: The sum of the distances from x to 1 and from y to 1 is less then 1
A distance cannot be negative.
Thus, a distance is always a NONNEGATIVE VALUE.
Since the SUM of the two distances must be less than 1, each distance ON ITS OWN must also be less than 1.
Thus, x and y must each be LESS THAN ONE PLACE from 1 on the number line:
0<-----1----->2
Since x and y must each lie with the blue range above, they must be to the same side of 0.
SUFFICIENT.
The correct answer is
B.
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