the mistake is here:
dianapaolasanchez wrote:
Second Statement:
W^2 > 1
The same that l W l > 1
w>1 or w<-1
so W > 1 is sufficient
you can't do this -- you can't deduce sufficiency from half of a statement.
if the statement allows several different possibilities, you can't pick “sufficient” unless ALL of the possibilities agree. in this problem, this means that you have to get the same result from w > 1 as you get from w < -1. you can't just ignore the latter of these!