dmittal wrote:

on a 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?

a. xyz <o

b. xy < 0

please explain your answer as well. Thanks a lot in advance!

From the red part we know four cases:

(1)x<z<y; (2)y<z<x; (3)z<x<y; (4)y<x<z.

(a) (1), (2), (3), and (4) are all possible. insufficient;

(b) (1), (2), (3), and (4) are all possible. insufficient;

(a)+(b): 0<z;

(1) possible; x<0<z<y (comply)

(2) possible; y<0<z<y (comply)

(3) ruled out;

(4) possible: 0<y<x<z (uncomply)

E is the answer.