Express the following statement into symbolic formula using the quantifiers and logical connectives: "Every non zero real number has a multiplicative inverse" (ii) Verify the validity of the argument: "Every student in this University is studying either an Engineering or Technology. Jini is a student in this university and she is not studying engineering. All Technology students have received their placement order. Therefore, Jini has received her placement order." Verify whether (P(S), *) where P(S) is set of all subsets of S and * is defined as union is a commutative monoid or not. Also check whether (P(S), A) where A is defined as intersection is a commutative monoid or not. Show that in a group (G, *), if for any a,bEG, (a*b) = ab then (G, *) must be abelian and convers part also.