negation of an event verbal description and equivalent set theoretic notation

Verbal description of set and equivalent set theory notation and proof with venn diagram

Negation of a statement in logic corresponds to______in set theory

The negation of the Boolean expression x harr ~ y is equivalent to :

The negation of the Boolean expression pvv(~p ^^q) is equivalent to :

The negation of the statement q vv(p^^sim r) is equivalent to

The union of two equivalence relations on a set is not necessarily an equivalence relation on the set.

The union of two equivalence relations on a set is not necessarily an equivalence relation on the set.

Introduction to Inequations & set notations

Is inclusion of a subset in another, in the context of a universal set, an equivalence relation in the class of subsets of the sets? Justify your answer.