Advanced indices questions may take several forms. One of these may require you to compare the magnitude of different expressions. For example:
If
arrange in order of magnitude
If
then
increases with increasing
so a bigger value of
means a bigger value of
Note that
and
(1)
Since
we have
If
arrange in order of magnitude
If
thendecreases with increasingso a bigger value ofmeans a smaller value of
Using (1) and that
and
Since
we have