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  1. In worksheet on set we will solve 12 different types of questions. The questions on sets are basically related on elements of set and notation of a set, representation of a set, cardinal number of a set, and also types and pairs of set. 1. Which of the following are sets? Justify your answer.

  2. Sets This section will show you how to: use set language and notation, and Venn diagrams to describe sets and represent relationships between sets. 1

  3. List the elements in each of the following sets. Let U = {0,1,2,3,4,5,6,7,8,9,10}; A = {0,1,2,3,5,8}; B={0,2,4,6}; C = {1,3,5,7} A B = {0, 1, 2, 3, 4, 5, 6, 8} B’ = {1, 3, 5, 7, 8, 9, 10} A B’ = {1, 3, 5, 8} Hint: List the elements in B’ first. B C = {0, 1, 2, 3,4, 5, 6, 7}

  4. The numbers that are in both set A and set B are in the intersection of the two sets. The numbers 1, 5, 7, 11 are not in set A or set B so are outside the two circles. Venn diagrams can also be used to show the number of members in a set.

  5. SET INTERSECTION, SET UNION, SET COMPLEMENT: SUMMARY. The intersection of two sets denotes the elements that the sets have in common, or the "overlap" of the two sets. S ∩ T = {x|x∈ S and x∈ T}. The union of two sets merges the two sets into one "larger" set. S ∪ T = {x|x ∈ S or x ∈ T}.

  6. 5. A is the set of all factors of 24. B is the set of all multiples of 4, from 1 to 24. (a)Represent the sets A and B on a Venn diagram. (b)List the elements of the following sets: i. A[B ii. A\B iii. B nA (c)What is #A? (d)What is #(A\B)? (e)What is #(A[B)? (f)What is #(AnB)? 6. A = f1;3;5;7;9g B = f2;4;6;8;10g (a)Represent the sets A and B on ...

  7. Free Worksheets with solutions to test your knowledge on finite, infinite and empty sets, interactive, online

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