Data Sufficiency (DS) | Re: If cb < ab < 0, is |c - a| = |c| - |a|?

The general rule for this is if\(|c-a| = |c|-|a|\) then for this to be true either a = 0, or a and b must have the same sign and\(|c|≥ |a|\)

Using this principle we can solve (hopefully correctlylol)

Stem : cb<ab<0

(1) c > a

c = 5, a = -4 Yes
c = -4, a = -10 No
c= 1, a = 0 Yes

Insufficient

(2) b<0
If b <0, then both c and a must be greater than 0 to satisfy the stem, and c must be greater than a if bc<ba

Sufficient
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