Math-1st Year-Chapter#2 "Sets, Function & Groups"

1. CHAPTER#2:
SETS, FUNCTION & GROUPS
BY:
Engr. Maria Ambreen

2. PROPERTIES OF UNION & INTERSECTION
 A ∪ B= B ∪ A (Commutative property of union)
 A ∩ B= B ∩ A (Commutative property of intersection)
 (A ∪ B) ∪ C = A ∪ (B ∪ C)
(Associative Property of union)
 (A ∩ B) ∩ C = A ∩ (B ∩C)
(Associative Property of intersection)
 A ∪ ( B ∩ C) = (A ∪ B) ∩ (A ∪ C )
(Distributive Property of union over intersection)

3. PROPERTIES OF UNION & INTERSECTION
 A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C )
(Distributive Property of union over intersection)
 (A ∪ B) c = Ac ∩ B c
OR
 (A ∩ B) c = Ac ∪ B c
(De-Morgan’s Law)

4. EXERCISE 2.3

5. EXERCISE 2.3
 Solution:

6. EXERCISE 2.3

7. EXERCISE 2.3

8. EXERCISE 2.3

9. EXERCISE 2.3

10. EXERCISE 2.3
 Solution:

11. EXERCISE 2.3

12. EXERCISE 2.3

13. EXERCISE 2.3

14. EXERCISE 2.3

15. EXERCISE 2.3

16. EXERCISE 2.3

17. EXERCISE 2.3

18. EXERCISE 2.3

19. EXERCISE 2.3