Here are five exercises related to set theory:

1. **Basic Set Operations**  
   Let \( A = \{1, 2, 3, 4\} \), \( B = \{3, 4, 5, 6\} \), and \( C = \{1, 5, 6, 7\} \).  
   Find:
   - \( A \cup B \) (union of \( A \) and \( B \))
   - \( A \cap B \) (intersection of \( A \) and \( B \))
   - \( A - B \) (difference between \( A \) and \( B \))
   - \( A \cap (B \cup C) \)

2. **Subset Verification**  
   Given \( X = \{1, 2, 3, 4, 5, 6\} \) and \( Y = \{2, 4, 6\} \), determine if:
   - \( Y \subseteq X \) (Is \( Y \) a subset of \( X \)?)
   - \( X \subset Y \) (Is \( X \) a subset of \( Y \)?)

3. **Power Set**  
   Find the power set of \( P = \{a, b\} \).  
   (Hint: The power set is the

Explore set theory with these exercises, including operations like union, intersection, and the power set. Solve problems involving set relations such as subsets and set differences. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation