Sure! Let’s fill in the blanks for the table using
basic set notation:
-
A ∩ B = Intersection = elements common to both sets A and B
-
A ∪ B = Union = all elements that are in A, or in B, or in both
We’ll go row by row.
---
Row 2:
A = {1, 3, 5, 7}
B = {5, 6, 7, 8, 9}
→
A ∩ B = elements in both A and B → {5, 7}
→
A ∪ B = all unique elements from both → {1, 3, 5, 6, 7, 8, 9}
✔ Fill in:
- A ∩ B: {5, 7}
- A ∪ B: {1, 3, 5, 6, 7, 8, 9}
---
Row 3:
A = {a, b, c, d, e}
B = {b, c, d, e, f}
→
A ∩ B = common elements → {b, c, d, e}
→
A ∪ B = all unique letters → {a, b, c, d, e, f}
✔ Fill in:
- A ∩ B: {b, c, d, e}
- A ∪ B: {a, b, c, d, e, f}
---
Row 4:
A = {0, 1, 2, 3}
B = {4, 5, 6, 7, 8}
→
A ∩ B = no elements in common →
∅ (empty set)
→
A ∪ B = combine all → {0, 1, 2, 3, 4, 5, 6, 7, 8}
✔ Fill in:
- A ∩ B: ∅ or {}
- A ∪ B: {0, 1, 2, 3, 4, 5, 6, 7, 8}
---
Row 5:
A = Odd numbers from 1 to 9 inclusive → {1, 3, 5, 7, 9}
B = Prime numbers less than 10 → {2, 3, 5, 7}
*(Note: 1 is NOT prime; primes < 10 are 2, 3, 5, 7)*
→
A ∩ B = odd numbers that are also prime → {3, 5, 7}
→
A ∪ B = all odd numbers from 1–9 OR primes < 10 → {1, 2, 3, 5, 7, 9}
✔ Fill in:
- A ∩ B: {3, 5, 7}
- A ∪ B: {1, 2, 3, 5, 7, 9}
---
##
✔ Final Completed Table:
| A | B | A ∩ B | A ∪ B |
|---------------------|------------------------|--------------|--------------------------|
| {1,2,3,4,5} | {4,5,6,7,8} | {4,5} | {1,2,3,4,5,6,7,8} |
| {1,3,5,7} | {5,6,7,8,9} | {5,7} | {1,3,5,6,7,8,9} |
| {a,b,c,d,e} | {b,c,d,e,f} | {b,c,d,e} | {a,b,c,d,e,f} |
| {0,1,2,3} | {4,5,6,7,8} | ∅ | {0,1,2,3,4,5,6,7,8} |
| Odd numbers 1–9 | Prime numbers < 10 | {3,5,7} | {1,2,3,5,7,9} |
---
💡 Quick Tips:
-
Intersection (∩) = “AND” — only what’s in both.
-
Union (∪) = “OR” — everything from either set, no duplicates.
- Always list elements in ascending order (for numbers) or alphabetically (for letters) unless specified otherwise.
Let me know if you want a visual Venn diagram for any of these!
Parent Tip: Review the logic above to help your child master the concept of sets and venn diagrams worksheet with answers.