MathProblemsBank

6.8.7 Set theory

Problem: Prove equalities using the properties of set operations and definitions of operations. Illustrate using Euler-Venn diagrams. a) \( A((A \cap B) \backslash C)=(A \backslash B) \cup(A \cap C) \) b) \( U^{2} \backslash(C \times D)=(U \times(U \backslash D)) \cup((U \backslash C) \times U) \).