PLACE THE FOLLOWING NUMBERS IN INCREASING ORDER OF SIZE, AND JUSTIF...

1. Place the following numbers in increasing order of size, and justify

Instructions • Full written solutions – not just answers – are

your reasoning:

required, with complete proofs of any assertions

3 3

4

, 3 4

3

, 3 4

4

, 4 3

3

and 4 3

4

.

you may make. Marks awarded will depend on the

clarity of your mathematical presentation. Work

Note that a b

c

means a ( b

c

) .

in rough first, and then write up your best attempt.

Do not hand in rough work.