vinay1983 wrote:Is 1/(a-b) < b-a?
(1) a < b
(2) 1 < |a-b|
Note: My solution is very similar to ganeshrkamath's, but mine uses specific values for a and b in statement 2.
Target question: 1/(a-b) < b-a?
Statement 1: a < b
From this, we can conclude that a-b is
negative, and a+b is
positive
So, the question becomes: Is 1/
negative <
positive?, and the answer is a resounding YES!
Since we can answer the
target question with certainty, statement 1 is SUFFICIENT
Statement 2: 1 < |a-b|
There are several values of a and b that satisfy this condition. Here are two:
Case a: a = -2 and b = 0, in which case
1/(a-b) < b-a
Case b: a = 2 and b = 0, in which case
1/(a-b) > b-a
Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Answer =
A
Cheers,
Brent
