Math SETS – intersection  union  complement  Venn  diagrams
by Talia
I would like for the following math questions to be answered. 1. What does N denote? (1mk) 2. Represent N in tabular form. (2mks) 3. What does Q denote? (1mk) 4. Represent Q in tabular form. (2mks) 5. What does I denote? (1mk) 6. Represent I in tabular form. (2mks) 7. What is another symbol that can be used instead of I? (1mk) 8. Describe what the following mean (Express in words) and represent in tabular form: a) A= {x: x ε N, 3 b)B= {x:x ε N, 2c) C= {x: x ε I, x is divisible by 4} (5mks) d) D={x: x ε N, x > 50} (5mks)
9. Express the following in tabular form: a) The set E is the set of all even numbers. (3mks) b) The set F consists of the numbers 4, 5, 6 and 7. (3mks) c) The set G consists of the numbers ½, ⅓ ¼, and ⅕. (3mks) d) The set H consists of all girls in the college mathematic class on Wednesday September 2, 2009. (3mks) e) The set I consists of all boys in the college mathematics class on Wednesday September 2, 2009. (3mks) f) The set J consists of 2 girls and 1 boy in one college Mathematics class on Wednesday September 2, 2009. (3mks) 10. Are the following sets equal? Indicate your answer using the proper notation. a) K= {1, 2, 3} and L= {3, 2, 1} (2mks) b) M= {2, 5, 6} and N= (2, 5, 6, 6, 3} (2mks) c) O= {John, Helen, Mary} and = {Mary, John, Helen} (2mks) d) Q= {4, 1} and R= {3, 2} (2mks) 11. a) When are two sets equal? (2mks) b) Give an example? (2mks) 12. a) What is a subset of a set? (2mks) b) Give an example? (2mks) 13. a) What is a proper subset? (2mks) b) Give an example? (2mks) 14. a) What is an improper subset? (2mks) b) Give an example? (2mks) 15. a) What is a complementary set? (2mks) b) Give an example? (2mks) 16. True or False (Indicate by writing True or False) a) Ǿ is a subset of every set S. (1mk) b) Ǿ is a proper subset of every set S ≠ Ǿ. (1mk) 17. a) What is a universal set? (2mks) b) What is the complement of the universal set? (3mks) 18.a) What is the intersection of a set? (2mks) b) Give the denotation. (1mk) 19. a)What is the union of two sets A and B? (2mks) b) Give the denotation. (1mk) c) What is the difference between sets A and B (AB)? (2mks) 20. Represent the following in a Venn diagram by shading the area. A. Given two sets A and B which have AΠB≠Ǿ i) A (1mk) ii) B (1mk) iii) Ăс (2mks) iv) Bc (2mks) v) AΠB (2mks) vi) (AΠB)c (2mks) vii) AUB (2mks) viii) (AUB) c (3mks) ix)AΠBc (4mks) x)BΠAc (4mks)
B. Given two disjointed sets A and B xi) AUB (3mks) xii) Ac (2mks) xiii)Bc (2mks) xiv) (AUB)c (3mks)
C. Given two sets A and B xv) ANB=Ǿ (2mks)
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