I have not used this approach before(read in one of Ian's posts on interpreting absolute values). Hoping I have applied it correctly but please do wait for other responses too. I may be off here but anyways let me give it a try
To find if distance between a and y is less than distance between b and y
Stmt I)
|z-a| < |z-b|
Distance between a and z less than distance between b and z
a<y<z<b
Since y is between a and z the distance betwen a and y is indeed less than distance between b and y
SUFF
Stmt II
|y-a| < |z-b|
Distance between a and y is less than distance between b and z
Since distance between b andz itself is greater than distance between a and y therefore the distance between b and y is definitely greater than the distance between a and y since again a<y<z<b
SUFF
D)
GMATPrep - double absolute question
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Source: Beat The GMAT — Data Sufficiency |
