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Name:___________________________________________ Block:__________ MS Worksheet: Sets 1. The universal set U is the set of integers from 1 to 20 inclusive. A and B are subsets of U where: A is the set of even numbers between 7 and 17. B is the set of multiples of 3. List the elements of the following sets: (a) A; (1) (b) B; (c) A B; (d) A B′. (1) (2) (2) (Total 6 marks) 2. U is the set of all the positive integers less than or equal to 12. A, B and C are subsets of U. A = {1, 2, 3, 4, 6,12} B = {odd integers} C = {5, 6, 8} (a) Write down the number of elements in A C. (1) (b) List the elements of B. (c) Complete the following Venn diagram with all the elements of U. (1) (4) (Total 6 marks) 3. B and C are subsets of a universal set U such that U = {x : x , 0 x 10}, B = {prime numbers 10}, C = {x : x (a) List the members of sets (i) B (ii) C B (iii) B C′ 4. (a) Shade (A B) C′ on the diagram below. U B A , 1 x 6}. C (2) (b) In the Venn diagram below, the number of elements in each region is given. Find n ((P Q) R). U P 2 3 1 Q 6 4 5 9 R (2) (c) U is the set of positive integers, +. E is the set of even numbers. M is the set of multiples of 3. (i) List the first six elements of the set M. (ii) List the first six elements of the set E′ M. (2) (Total 6 marks) 5. Let U be the set of all positive integers from 1 to 21 inclusive. A, B and C are subsets of U such that: A contains all the positive integers that are factors of 21, B is the set of multiples of 7 contained in U, C is the set of odd numbers contained in U. (a) List all the members of set A. (2) (b) Write down all the members of A B; (i) (ii) C' B. (4)