f(x) = x-x^2 = x(1-x)
f(a) = a(1-a)
f(b) = b(1-b)
Q: Is a(1-a) < b(1-b)
Stmt I
a<b
We have no idea how much bigger 1-a and 1-b are going to be
Eg:
a=1 b=2 then f(a) > f(b)
a=.10 b=.11 f(a) < f(b)
ISNUFF
Stmt II
a^2<b^2
|a|<|b|
a=1 b=2 then f(a) > f(b)
a=.10 b=.11 f(a) < f(b)
Together use same examples to save time:
INSUFF
Choose E
Regards,
CR
f(x)
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