Overview
Set operations and relations are foundational concepts in mathematics that allow us to manipulate and understand collections of objects. By learning about union, intersection, and difference, students can effectively combine and compare sets. Additionally, understanding relations helps in grasping h...
Key Terms
Example: A = {1, 2, 3}
Example: A ∪ B = {1, 2, 3} ∪ {3, 4, 5} = {1, 2, 3, 4, 5}
Example: A ∩ B = {1, 2, 3} ∩ {3, 4, 5} = {3}
Example: A - B = {1, 2, 3} - {3, 4, 5} = {1, 2}
Example: A × B = {1, 2} × {x, y} = {(1, x), (1, y), (2, x), (2, y)}
Example: R = {(1, 'a'), (2, 'b')}