If x is positive, is x>3?
a) (x-1)^2 > 4
b) (x-2)^2 > 9
Statement 1: (x-1) > 4 then (x-1) > 2 OR (x-1) < -2
Therefore, x > 3 OR x < -1
But we are given the condition that if x is positive,
then x has to be greater than 3.
Hence sufficient...
Statement 2: (x-2)^2 > 9 then (x-2) > 3 OR (x-2) < -3
Therefore, x > 5 OR x < -1
Because we are given the condition that if x is positive,
then x cannot be less than -1,
Hence x > 5 and hence greater than 3.
Sufficient...
Certainly the answer turns out to be D.
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