Matching the expression
a. A ∩ B → {6}
b. A U B → {2, 3, 4, 6, 8, 9}
c. (A ∩ B) U C → {2, 3, 5, 6, 7}
d. A ∩ (B U C) → {3, 6}
e. A U (B ∩ C) → {2, 3, 6, 9}
The intersection and union are fundamental operations on sets:
1. Intersection (∩): The intersection of two sets, denoted (A ∩ B), is the set of elements that are common to both sets A and B.
2. Union (U): The union of two sets, denoted (A U B), is the set of all elements that are in either set A or set B (or in both).
In summary:
- Intersection: Common elements in both sets only.
- Union: All elements from both sets, without duplication.
Therefore, matching the given expressions;
a. A ∩ B → {6}
b. A U B → {2, 3, 4, 6, 8, 9}
c. (A ∩ B) U C → {2, 3, 5, 6, 7}
d. A ∩ (B U C) → {3, 6}
e. A U (B ∩ C) → {2, 3, 6, 9}