Is |A - B | > | A - C | ?
1) | B | > | C |
2) A > 0
Any method other than picking numbers to solve this problem is
The method other than picking the number:
imagine FOUR points A, B, C and O on the number line. O corresponds to 0 on the number line
Now the question is |A - B | > | A - C | which is basically asking: is the segment AB > segment AC on the number line?
Statement 1 : Segment BO > segment CO, In other words, B is farther than C from 0. B and C could be on either side of 0. But the absolute distance of B from 0 is greater than the absolute distance of C from 0. we do not know the position of A. So not suffeciaent.
Statement 2: it is self explanatory. In our number line, this does not help us identify the position of point B and C. NOT SUFFECIENT
Both together: If you combine the above two explanation, you will realize that it is not suffecient.
So the answer E