Data Sufficiency

Anurag@Gurome wrote:

koby_gen wrote:Is |a| - |b| >= | a - b | ?

(1) b > a
(2) a > 0

Statement 1: b > a
Say, a = 0 and b = 3 => |a| - |b| = -3 < |a - b| = 3
Say, a = -2 and b = 1 => |a| - |b| = 1 > |a - b| = 3

Not sufficient

Statement 2: a > 0
Say, a = 1 and b = 2 => |a| - |b| = -1 < |a - b| = 1
Say, a = 1 and b = 0 => |a| - |b| = 1 = |a - b| = 1

Not sufficient

1 & 2 Together: b > a > 0
Hence, |a| - |b| < 0
But, |a - b| > 0

Hence, |a| - |b| < |a - b|

Sufficient

The correct answer is C.