Data Sufficiency

On the no line, the ditance between x and y is greater than the distance between x and z. DOes z lie between x and y on the no line?

1. xyz <0
2. xy <0

How do u end up solving such problems???
Ans is E.

tanyajoseph wrote:On the no line, the ditance between x and y is greater than the distance between x and z. DOes z lie between x and y on the no line?

1. xyz <0
2. xy <0

How do u end up solving such problems???
Ans is E.

Visualize the number line.

Assume y is on the left of x. z could be on either side of x (left or right) and still satisfy the distance condition.

Assume y is on the right of x. Again, z could be on either side of x (left or right) and still satisfy the distance condition.

Hence, it doesn't seem to matter if x y or z are negative or positive.

Statement (1) and (2) both attempt at providing some information about which of these three points could be on the left of the origin (negative).

Answer [E].