Answer:
1. a) A ∩ B = {1}
1. b) A ∪ B = {0, 1, 2, 3}
1. c) B' = {0, -1}
2. a) A ∩ B = ∅
2. b) A ∪ B = {4, 5, 6, 7, 8, 9}
2. c) (A ∪ B)' = {10}
3. a) A ∩ B = ∅
3. b) A ∪ B = {4, 5, 6}
3. c) A' = {5, 6, 7}
Explanation:
Set Notation
The symbol
is used to represent the universal set. The universal set contains all the elements under consideration.
The symbol ∩ is used to represent the intersection of sets. The intersection of two sets refers to the set that contains only the elements that are common to both sets.
The symbol ∪ represents the union of sets. The union of two sets is a set that includes all the elements that are present in either of the two sets, or in both sets.
The symbol ' represents the complement of a set. The complement of a set refers to the set that contains all the elements that are not present in the original set but are part of the universal set.
The symbol ∅ or { } represents an empty set. The empty set does not contain any elements.

Question 1
Given sets:
- U = {-1, 0, 1, 2, 3}
- A = {0, 1}
- B = {1, 2, 3}




Question 2
Given sets:
- U = {4, 5, 6, 7, 8, 9, 10}
- A = {7, 8, 9}
- B = {4, 5, 6}




Question 3
Given sets:
- U = {4, 5, 6, 7}
- A = {4}
- B = {5, 6}


