Let A  =  {1, 3, 5, 6}, B  =  {0, 5, 6, 7}, find A u B. So, we can represent the above set in descriptive form as follows. Let M and S represent the set of students who like math and science respectively. Questions are bound to come up in any set theory course that cannot be answered “mathematically”, for example with a formal proof. Let A  =  {1, 3, 5, 6}, B  =  {0, 5, 6, 7}, find A\ B. You may draw a Venn diagram to help you find the answer. Sets and elements Set theory is a basis of modern mathematics, and notions of set theory are used in all formal descriptions. Practice Exercises on Sets. (b) S Worksheet 1: Worksheet 1 Key: Worksheet 2: Worksheet 2 Key: Worksheet 3: Worksheet 3 Key: Sign Up For Our FREE Newsletter! We know that the power set is the set of all subsets. Because the set A = {a, e, i, o, u} contains 5 elements. Let U  =  {1, 2, 3, 4, ......10}, A  =  {5, 6, 7, 9}, find A'. (a) {13, 15, 17} (b) {11, 12, 19} (c) {11, 13, 13, 15, 15, 17, 17, 19} (d) {11, 12, 13, 15, 17, 19} 2. Set theory is also the most “philosophical” of all disciplines in mathematics. The notion of set is taken as “undefined”, “primitive”, or “basic”, so we don’t try to define what a set is, … Set Theory Questions And Answers, Set Theory Questions For Aptitude, Set Theory Question Bank, Sets Questions And Answers, Set Theory Questions Exercise for Practice. (NB: The symbol ‘n’ has the same meaning as ‘ ’ in the context of set theory. Which of the following is sets is shown with roster notation? Let M and D represent the set of Indian men and Doctors respectively. The notion of set is taken as “undefined”, “primitive”, or “basic”, so we don’t try to define what a set is, but we can give an informal description, describe important properties of sets, and give examples. Let M = The set of students passed in Mathematics, S = The set of students passed in Science, total number of students  n (M U S)  =  50, Number of students passed in both subjects n(MnS) = 10, Number of students passed in science n (S)  =  28. Select your answer by clicking on its button. Question (7):- In a group of 60 students. At a certain conference of 100 people there are 29 Indian women and 23 Indian men. Let A  =  {1, 2, 3, 4, 5} and B  =  { 5, 3, 4, 2, 1}. So, n = 4. students who like Maths or Science subjects : No. (b) The collection of all tall people. Set Theory Problems Prof. Joshua Cooper, Fall 2010 Determine which of the following statements are true and which are false, and prove your answer. Find the number of women doctors attending the conference. Find the number of students who like. Let the given set contains n number of elements. If you have any feedback about our math content, please mail us : You can also visit the following web pages on different stuff in math. Answer : We know that the power set is the set of all subsets. Here, the given set A contains 3 elements. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Find the total number of students in the group. Our Sets and Set Theory worksheets are designed to supplement our Sets and Set Theory lessons. 1. Find how many students passed in mathematics ? Determine whether B is a proper subset of A. Find how many students passed in mathematics? A set is described by listing elements separated by commas, or by a characterizing property of its elements, within braces { }. No. So, we can represent the above set in descriptive form as follows. (i) Math only, (ii) Science only  (iii) Either Math or Science (iv) Neither Math nor science. From this, we have to find the number of students who passed in mathematics. x is an integer in the interval 0 < x < 5. If there is a bijection from the set Ato the set Band from the set Cto the set … Let A  =  {1, 3, 5, 6}, B  =  {0, 5, 6, 7}, find A Î”  B. Question (5):- How many subset of an empty set? Set theory begins with a fundamental binary relation between an object o and a set A.If o is a member (or element) of A, the notation o ∈ A is used. In a class of 60 students, 40 students like math, 36 like science, 24 like both the subjects. (adsbygoogle = window.adsbygoogle || []).push({}); Your email address will not be published. Figure 1.16 pictorially verifies the given identities. 45 students speak Hindi and 25 students can speak English and Hindi both then how many students can speak only English. Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here. A \ B  =  {1, 3, 5, 6} \  {0, 5, 6, 7}  =  {1, 3}, B \ A  =  {0, 5, 6, 7} \ {1, 3, 5, 6}  =  {0, 7}, A'  =  {1, 2, 3, 4, ......10} \ {5, 6, 7, 9}, {2x - 1 : x is an integer in the interval 0 < x < 5}. (d) The collection of all integers x for which: 2x – 9 = 16. C) 30 D) 10 Answer:- n(C U T) = 90; n(T) = 65, n(C) = 35 So n(C U T) = n(C) + n(T) – n(C ∩ T) = 90 = 35 + 65 – n(C ∩ T) n(C ∩ T) = 100 – 90 = 10 so option number (D) is right. Give brief reasons for each of your answers. A) 40 B) 20 2. So, the cardinality of the power set of A is 16. Search . 10 students passed in both and 28 passed in science. Question (10):- In a group of 50 people 35 people eat mango and 5 people eat mango and banana both then how many people eat only banana? … Let A = {0, 1, 2, 3, 4, 5}. Which of the following are true and which are false? of students who like either math or science : Total no. MATH 1 SET THEORY AND OPERATIONS Exercises Choose the best answer. In the given sets A and B, every element of B is also an element of A. Sign Up For Our FREE Newsletter! (ii)  The collection of prime numbers less than 30. Number of proper subsets = 2 5-1 = 2 4 = 16. If fis a one-to-one function from the set Xto the set Y and A;BX, then f(A B) = f(A) f(B). 1. Let A  =  {1, 3, 5, 6}, B  =  {0, 5, 6, 7}, find A n B. (a) The collection of all alphanumeric characters. 1. Because the set A =  {a, e, i, o, u} contains 5 elements. (e) The collection of all good tennis players. 1.1. So total numbers of people who speak only English. Since sets are objects, the membership relation can relate sets as well. To Click Here to Types of Set Theory Worksheets Formula & Examples and Solutions, Your email address will not be published. Solving linear equations using elimination method, Solving linear equations using substitution method, Solving linear equations using cross multiplication method, Solving quadratic equations by quadratic formula, Solving quadratic equations by completing square, Nature of the roots of a quadratic equations, Sum and product of the roots of a quadratic equations, Complementary and supplementary worksheet, Complementary and supplementary word problems worksheet, Sum of the angles in a triangle is 180 degree worksheet, Special line segments in triangles worksheet, Proving trigonometric identities worksheet, Quadratic equations word problems worksheet, Distributive property of multiplication worksheet - I, Distributive property of multiplication worksheet - II, Writing and evaluating expressions worksheet, Nature of the roots of a quadratic equation worksheets, Determine if the relationship is proportional worksheet, Trigonometric ratios of some specific angles, Trigonometric ratios of some negative angles, Trigonometric ratios of 90 degree minus theta, Trigonometric ratios of 90 degree plus theta, Trigonometric ratios of 180 degree plus theta, Trigonometric ratios of 180 degree minus theta, Trigonometric ratios of 270 degree minus theta, Trigonometric ratios of 270 degree plus theta, Trigonometric ratios of angles greater than or equal to 360 degree, Trigonometric ratios of complementary angles, Trigonometric ratios of supplementary angles, Domain and range of trigonometric functions, Domain and range of inverse  trigonometric functions, Sum of the angle in a triangle is 180 degree, Different forms equations of straight lines, Word problems on direct variation and inverse variation, Complementary and supplementary angles word problems, Word problems on sum of the angles of a triangle is 180 degree, Domain and range of rational functions with holes, Converting repeating decimals in to fractions, Decimal representation of rational numbers, L.C.M method to solve time and work problems, Translating the word problems in to algebraic expressions, Remainder when 2 power 256 is divided by 17, Remainder when 17 power 23 is divided by 16, Sum of all three digit numbers divisible by 6, Sum of all three digit numbers divisible by 7, Sum of all three digit numbers divisible by 8, Sum of all three digit numbers formed using 1, 3, 4, Sum of all three four digit numbers formed with non zero digits, Sum of all three four digit numbers formed using 0, 1, 2, 3, Sum of all three four digit numbers formed using 1, 2, 5, 6, How to Prove the Given Vertices form a Rhombus, Verify the Given Points are Vertices of Parallelogram Worksheet, Let A = {0, 1, 2, 3, 4, 5}.

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