Question

Match each statement to the correct diagram.

B∩C


C∪A


A∪(B-C)


B-(A∩C)

Answer 1

To match each statement to the correct diagram, we first need to break down what each of those set operations means:

1. **B ∩ C**: This is the intersection of sets B and C, meaning we want the part of the Venn diagram that is shared between sets B and C.

2. **C ∪ A**: This is the union of sets C and A, which includes all elements that are in either set C, set A, or both.

3. **A ∪ (B - C)**: Here we have two operations. First, B - C means the elements in B that are not in C. Then we take the union of that result with set A.

4. **B - (A ∩ C)**: This means we take set B and remove any elements that are also in the intersection of sets A and C.

To correctly match each of the statements to the corresponding diagrams, you would identify the areas of a Venn diagram representing each operation:

- **B ∩ C**: Area that overlaps between B and C.
- **C ∪ A**: Combination of all areas covered by both C and A.
- **A ∪ (B - C)**: Area of A plus the portion of B that does not intersect with C.
- **B - (A ∩ C)**: Area of B excluding the overlap with A and C.

If you provide the diagrams, I can help you match the statements to the appropriate diagrams based on this analysis.