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;
(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.