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} i) A B = {0, 1, 2, 3, 4, 5, 6, 8}

Practice Test 1- Sets . Show your work whenever appropriate for full credit. 1.Write the following {0, 1, 2, …, 10} in set-builder notation. _____ 2. Write out the set {x: x is an integer less than 4} …

These sets ( common Universal sets), each denoted using a boldface letter, play an important role in discrete mathematics: N = {0 , 1 , 2 , 3 , . . . } , the set of natural numbers

3. Set Builders Using the set Y = {1, A, 2, B, 3, C}, write out the following sets: { x ∈ Y | x is a letter} = {A, B, C} { x ∈ Y | x is a number} = {1, 2, 3} If X = {A, B, C, 1, 2, 3}, Y = {A, B, C}, and Z = {1, 2, 3}, then write: {x ∈ X | x is also in Y} = {A, B, C} {x …

Jun 6, 2016 · i) Describe the set. The elements of the set are square numbers. ii) Write another two elements of the set. e.g. 36, 49 iii) Is the set finite or infinite? Infinite. There is an infinite number of square numbers.

Set Theory Problems Prof. Joshua Cooper, Fall 2010 Determine which of the following statements are true and which are false, and prove your answer. (NB: The symbol ‘n’ has the same meaning as ‘ ’ in the context of set theory. Rosen uses the latter, but the former is actually more standard.) 1. If A Band C D, then A C B D. 2.

Exercise 12 (bonus). The example above is a bit special because the right hand side of the equation is 0. Generalizing the above, explain how the solu-tion to the equation f(x) = g(x) can be interpreted as a subset of Z for any functions f : Z !Z, g : Z !Z. Answer: the solutions are the set fz 2Z jf(z) = g(z)g. Exercise 13. Let S = f1;2gand T ...

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.

Notes and Exercises on Sets and Functions This set of notes covers more or less the same material that we covered in class on sets and functions. There is also optional material which I will not cover in class, but which is relevant. I encourage you to read this. 1 Introductory Remarks

III. Exercises Do the following exercises. Represent the sets and draw a Venn diagram when needed. 1. If A is a set, give two subsets of A. Answer: and A 2. (a) If and are finite sets and , what can you say about the cardinalities of the two sets? (b) If the cardinality of is less than the cardinality of , does it follow that ?