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

OA = E

I am unable to rephrase this question. There are 2 possibilities, z is between x and y (the ask) and z is left of x. Is that correct rephrasing? I was just lost on the clues. Even though the answer is E, the clues normally take you closer to solving the problem. I don't know what the two clues are doing here?

1. xyz < 0 -- so either all three or one of the three is negative

2. xy < 0 -- either x or y is negative, BUT not both.

1 and 2 combined - either x or y are negative.. How does that bring me close the solution? What MORE information could have helped me answer the question here?