The two questions marked with * (asterisk) will be assessed for tutorial participation. You will need to bring your solutions to these questions to your tutorial in Week 7. 1. *Consider the following subsets of a standard English dictionary: A = {x | x is a word that appears before discr ete B x xis a word that appears after mathematics) C- x is a word that contains two identical consecutive letters] For each of the following statements, state whether it is true or false and give a reason for your answer. (a) C CAUB (b) numb er E AUB (d) algebra E B\A (e) lemma E Anc 4. * Expand and simplify using the Binomial Theorem (2a2 -b)