teejaycrown wrote:On the number line, the distance between x and y is greater than the distance between x and z. Does z lie between x and y on the number line.
1. Xyz < 0
2. Xy < 0
The following case satisfies all of the conditions in the problem:
y=-5......................0....z=1.............x=5
Question stem condition: The distance between x and y (10) is greater than the distance between x and z (4).
Statement 2: xy = (5)(-5) = -25, with the result that xy < 0.
Statement 1: xyz = (5)(-5)(1) = -25, with the result that xyz < 0.
Here, z is between x and y.
The following case satisfies all of the conditions in the problem:
y=-5......................0.......................x=5....z=6
Question stem condition: The distance between x and y (10) is greater than the distance between x and z (1).
Statement 2: xy = (5)(-5) = -25, with the result that xy < 0.
Statement 1: xyz = (5)(-5)(6) = -150, with the result that xyz < 0.
Here, z is NOT between x and y.
Thus, the two statements combined are INSUFFICIENT.
The correct answer is
E.
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