MathProblemsBank

6.8.8 Set theory

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