Introduction to Solving Logic and Set Theory:The word logic indicates analysis. The analysis can be an approved result or a mathematical proof. The basic logical connectors are AND, OR and NOT. Collections of elements are called together. The basic operations of sets are union, intersection and complement. Let's solve logic and set theory in this article. Logic and set theory: Logic: The term logic refers to analysis. The analysis may be an approved result or a mathematical proof.Logical Statement: The logical statement is a sentence that is true or false but not both. Basic logical connectors:* AND or conjunction* OR/disjunction* NOT or negationAND or conjunction: Another name for The AND logical connector is a conjunction. We apply a symbol to represent the AND logical connector. Truth table for AND or a conjunction:ABA [^^] BT T TT F FF T FF F FOR:Another name for the logical OR connector is disjunction.We apply the symbol to represent the logical OR connector.Truth table for OR/disjunction: ABA [vv ] BT T TT F TF T TF F FNOT: Another name for the logical NOT connector is negation. We apply the symbol “~” to represent the NOT logical connector. Truth table for NOT or negation:A ~AT FF TSet theory:The collection of objects is called set theory.Basic operations of set theory:* Union* Intersection* ComplementUnion:The set of all elements is present in the union.Intersection: The common elements are present in the intersection.Complement:The set of all elements of U which are absent in a given set is called as the complement of a given set.Logic problems and set theory:Problem 1:Do (A [^^] B) [vv] ASolution: Given (A [^^] B) [vv] AA BA [^^] B (A [^^] B) [vv] AT TT TT FF TF TF FF FFF Problem 2: Set A = {1, 2, 3, 4, 5, 6, 7} set B = {2, 4, 6, 8, 10} and set C = {3, 4, 6, 7, 8, 9, 10}Find (A [uu] B), (A [nn] C), (B [uu] C)Solution: DataA= {1, 2, 3, 4, 5, 6, 7}B = {2, 4, 6, 8, 10}C = {3, 4, 6, 7, 8, 9, 10}A [uu] B= {1, 2, 3 , 4, 5, 6, 7, 8, 10}A [nn] C= {3, 4, 6, 7}B [uu] C= {2, 3, 4, 6, 7, 8, 9, 10 }Works CitedIntroduction to study about logical equivalence online:Various websites are presented online to study about logical equivalence.