The symbol  is called the membership relation. … Here elements are not distinguishable because if we select any person of Delhi, we cann’t say with certainty whether he belongs to C or not, as there is no standard scale for evaluation of intelligence. Then B = {a, e, i, o, u}. Raquel has to choose whether to pursue training that costs $1;000 to herself or not. Some of these questions can be challenging and need more time to be solved. %PDF-1.4 It is denoted by f or { }. (ii)  Let B = set of all odd positive Integers. Represent the set A = {x : x is an odd integer and 3  x < 13} in tabular form. Describe the following sets in both formal and informal ways. Hence B is a set. Grade 7 maths questions on set theory with answers are presented. Here N is not a finite set and hence it is an infinite set. *�R$ ��x �`D�LJ\�F@�VD��p�e�jLb=5��@5�\�E�C$i�ܗD#y�z��1@�F#���6I-Z���~c'���Jj�$}� �PSDʔt��>��GA��+�u��㹻�^�'P���t ����X��pJ�J@����]��. Question (1):- In a group of 90 students 65 students like tea and 35 students like coffee then how many students like both tea and coffee. Thus a set A is said to be an infinite set if … (i)  Let A = {1, 2, 3}. Free download in PDF Set Theory Multiple Choice Questions and Answers for competitive exams. Your email address will not be published. Required fields are marked *. Set Theory Problems Prof. Joshua Cooper, Fall 2010 Determine which of the following statements are true and which are false, and prove your answer. Example: Let A = {1, 2, 3, 4, 5}, B = {a, e, i, o u}. Example 2:  Let B = collection of all vowels in English alphabets. Here A and B have exactly the same elements. Formal Set Notation Description Informal English Description a) {2, 4, 6, 8, 10, …} The set of all positive even integers b) {…, -3, -1, 1, 3,…} By the term ‘distinguishable’ we mean that given an object, we can decide whether that object is in our collection or not. Symbols                                            Meaning,                                                          Implies, ∈                                                         Belongs to, A ⊆ B                                                 A is a subset of B,                                                          Implies and is implied by, s.t. Later, he realized his diagrams were not sufficiently general so he extended his method by proposing a series of circles dividing the plane into compartments so that each successive circle would intersect all the compartments already existing. Thus a set A is said to be an infinite set if the number of elements of A is not finite. Here A is a finite set as it has 3 elements (finite number of elements). The elements of this collection are distinguishable but not distinct, hence A is not a set. Grade 7 Maths Questions on Set Theory With Answers. Also, the solutions and explanations are included. (a) {x : x is a letter of work COLLEGE}, (ii) {C, O, L, E, G}                           (b) {x : x is an odd natural number less than 10}, (iii) {1, 3, 5, 7, 9}                             (c) {x : x = 5n, n ∈ N}, (iv) {2, 3}                                          (d) {x : x is a prime number and a divisor of 12}. Notify me of follow-up comments by email. We observe that in every element of set A, numerator is a natural number 1 to 6 and denominator is one more than the numerator. Here C is a null set because there is no natural number lying between 0 and 1. Grade 7 maths questions on set theory with answers are presented. A set theory textbook can cover a vast amount of material depending on the mathematical ... answers to the group A questions normallyfollowimmediately from definitions and theorem statements presented in the text. Your email address will not be published. >> b3 / ����������U2O�p{�v�!y�DFէ]a0�B���@�j��s��o2g��k�n���uR�(��j[$9��e�b�Y'��}y��=/���M��x��$wO��o!�6�O�j���E���F`>�4 N#�@Z1����/� A set which is not a finite set is called an infinite set. ‘‘A set is any collection of distinct and distinguishable objects of our intuition or thought.’’. Under this method, set may be represented with the help of certain property or properties possessed by all the elements of that set. Example 3:  C = Collection of all intelligent persons of Delhi.