Harder indices questions may take several forms. One of these may require you to compare the magnitude of simple algebraic expressions. For example:

Ifarrange increasing in order.

Ifthenincreases with increasingso increasing ofmeans increasing

Note thatand(1)

Sincewe have

Ifarrange in increasing order.

Ifthendecreases with bigger values of so a larger value ofimplies a smaller value of

Using (1) and thatand

Sincewe have