On the number line, the distance between x and y is greater than distance between x and z.Does z lies between x and y on the number line?
A)xyz<0
B)xy<0
OA E
A)xyz<0
B)xy<0
OA E
From 1
two of x,y and z has same sign.
So
scenario 1: if x and y has same sign and z different (ex x and y +ve and z -ve) then z does not lie between x and y
scenario 2: if x and z has same sign and y different and z>x (ex x and z +ve and y -ve) then z does not lie between x and y
scenario 3:if x is negative and z and y +ve ,z lies between x and y ..not sufficient
from 2
x and y has different sign..no information about z..not sufficient
combining,
scenario 2 and 3 of condition 1 shows this and its not sufficient
Ans option E
