Set-tastic Unions! 🧩✨
Think you know sets? Are you ready to join (and union) the fun? 🤓🔗
Quiz Questions:
Question 1: What is the union of two sets? 🤝
- All elements that are in A or in B or in both (A ∪ B)
- Only the elements common to A and B (A ∩ B) 🔁
- All elements in A but not in B (A − B)
- Elements that are in neither A nor B
Question 2: Which symbol shows 'union'? 🔣
- ∩ (intersection)
- ∪ (union) ✅
- + (plus)
- − (minus)
Question 3: Venn diagram shading: Which area is A ∪ B? 🎨
- Only the two separate non-overlapping parts of A and B
- Only the overlapping middle (A ∩ B) ✖️
- All of both circles, including the overlap ✅
- Everything outside both circles
Question 4: Cardinality formula: |A ∪ B| = ? 🧮
- |A| + |B| ✅
- |A| + |B| − |A ∩ B| ✅
- |A| − |B|
- |A ∩ B|
Question 5: Compute union: A = {1,2,3}, B = {3,4} ➕ Which is A ∪ B? 🧾
- {1,2,3,4} ✅
- {1,2,3,3,4} (duplicates kept)
- {1,2} (only unique to A)
- {4} (only unique to B)
Question 6: Union with the empty set: A ∪ ∅ = ? 🕳️
- A ✅
- ∅ (empty set)
- Universal set U
- Depends on A (sometimes undefined)
Question 7: Union with the universal set: A ∪ U = ? 🌐
- A
- U ✅
- ∅ (empty set)
- A' (complement of A)
Question 8: If A and B are disjoint (no overlap), what's |A ∪ B|? 🧩
- |A| − |B|
- |A| + |B| ✅
- |A ∩ B|
- |A| × |B|
Question 9: De Morgan's surprise: (A ∪ B)' = ? 🔄
- A' ∪ B' (keep the union)
- A' ∩ B' ✅
- (A' ∪ B')' (double negation)
- A ∩ B
Question 10: Three-way union: A={1,2}, B={2,3}, C={3,4} ⇒ A ∪ B ∪ C = ? 🔢
- {1,2,3} (missing 4)
- {1,2,3,4} ✅
- {2,3} (only shared elements)
- {1,4} (only extremes)
Set-tastic Unions! 🧩✨
Think you know sets? Are you ready to join (and union) the fun? 🤓🔗
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