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