Without loss of generality you can takea £ b £ c. If a is too small
then the expression will be too big and if a is too big then
expressionwill be too small. This narrows down the possible values of a and
you have to test all possible cases using a similar argument about b.
This is what is known as a proof by exhaustion (working through all cases)
but you should not find this one too exhausting!