danjuma wrote:3. 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?
a. xyz is less than 0
b.xy is less than 0
Given that, x ≠y ≠z and x ~ y > x ~ z, hence either y > z or y < z, we never know. The question therefore is:
Is x < z < y or y < z < x?
[1] With x y z < 0, we can deduce the following:
a. None of the variables is 0.
b. Either all three or any one variable is negative.
We cannot allocate x, y, z in correct order on the number line with this much info. Insufficient
[2] Either x or y is negative, and z is definitely positive, and the positive amid x and y may be less or more than z, hence z could be second or third in the ascending order of x, y, z. Insufficient
Since [2] is just an annex of [1], [spoiler]mixing won't serve any purpose.
E[/spoiler]
