(Identity) Which of these sets are equal: {x, y, z}, {z, y, z, x}, {y, x, 1 0 obj Null or Empty set, denoted by { } or ø: this set has no members, e.g. Sets, Subsets, and the Empty Set 137 concepts of set, set cardinality, subset, Venn diagrams, union and intersec-tion of sets, and the empty set, was a part of their core curriculum. Math 211 Sets Practice Worksheet--Answers 4. use compatible numbers determine the number of minutes she can talk to each of her friends. �i����ÿovP�� �����^o��>(���HI��sh%�\$��y�m�����J� _��٠����^�P���"��7��}�7g�_|�Who���b�����s�y�y�E��u��y�h0Oũ�T�B(3V��a���ß���H�A��8�J��滗�Yw�7�:���1�_���R;�J~q�՛뻏0\$oa���=��� U. In this section we will create subsets of a given universal set and use set operations to create new subsets of the universal WORKSHEET 1: PRACTICE ON SET THEORY. Title: Microsoft Word - Sets and Subsets.docx Author: E0022430 Created Date: 8/30/2018 3:22:28 PM A Subset. %PDF-1.7 the null set) (this is in Ch 7, section 7.7) Venn Diagrams (useful to visualize sets, but please don’t use in proofs!) Worksheet 1 Solution Sets – Sets and Subsets 1. x��|\��/>s��ޫ�h��Zi%y�{��V��%Y�d[�d�x�;��&%��@� ��6�\$B(!��P�C� J\���;w\$�@ ����y���;sg��93s��알0B��j��]��ß#��}��+���~)�G\%d� UW4U���^����2�����~��9HvY,B��jg�j�����l�s�~R��^�r=��� �Sv�j�Ⱦ�g�#�w���ޕ=�W_r�n���!����=��y� ��X�t��7��V #�-�Y�š ��0�7.�l��`���A8��e�=}���ߏC����t?�%��� �V��T:gI !���׮�_{���4#���U�=C>E��B�rW�lZ�:̇����{^�A�,hO*y��{V�_��#�S]�P�m��u���h'm�+�����y?�����P�)r* ��c�D�~��-'��ڡz_ �D*�!����R�u���T�5M 7J��pK�E�������psp��S��|U�? Consider the Venn diagram below. (Adobe) the set of natural numbers. Sets and subsets may be represented using Venn Diagrams. (the set whose elements are all the subsets of A) Note that by definition of , Cartesian Product: { | The set of all ordered pairs (x,y), with x an element of A and y an element of B. 5 0 obj The empty set can be used to conveniently indicate that an equation has no solution. Infinite set: it is not possible to name or count all the members, e.g. 2 0 obj i) Only Region 1 is shaded. We use A ? The worked examples and exercises in this chapter consolidate your earlier work. endobj endobj It is important that you re-familiarise yourself with the set notation th Note that although there are no elements shown inside List all the subsets of {t, i, m}. ii) Only Region 7 is shaded. the set of planets in our solar system. MATH 2106-D Let X be the set of all sets that are not elements of themselves, that is,. For example {x|xis real and x2 =−1}= 0/ By the deﬁnition of subset, given any set A, we must have 0/ ⊆A. stream (this is in Ch 7, section 7.7) Venn Diagrams (useful to visualize sets, but please don’t use in proofs!) The students were provided with worksheets to learn the ISETL code For example, owls are a particular type of bird, so every owl is also a bird. %���� about equal to call her 11 good friends. �H�ˍ�FF� �P҈2����\�ލdH)�E�U�Qɿ�vrH�8���8��7Ѵ��(a����|>F�@�Aq�. B. C. M. Hauskrecht. Show how to . AUB ∩ c A-B A EMPTY SET: The empty set is the set with no elements: = (a.k.a. Disjoint sets Subsets l AB A B A l B A B 1.1 The language of sets You have already studied sets (for either IGCSE or O level). EMPTY SET: The empty set is the set with no elements: { (a.k.a. EXAMPLE 1 Finding Subsets Find all the subsets of {a,b,c}. View Worksheet-1-Sets (1).pdf from IST 230 at Pennsylvania State University, Abington. /Length 222969 <> Print out this PDF worksheet and use it as a math test to review at home or in the classroom. (A B C)’ or A’ ∩ B’ ∩ C’ One possible answer (A ∩ B) ∩ C’ iii) Regions 1 and 4 are shaded. 2 2 10 4 3 7 9 1 5 6 8 C D Write down the numbers that are in: a set D b both set C and set D c not in set C. 3 EOn a … The data was collected from three main sources: (a) written assessment, (b) ISETL project, and … 3 0 obj the set … The ISETL code for sets, set formations, set ele-ments, cardinality, subsets, and union and intersection of sets is summa-rized in Figure 2. 4 CS 441 Discrete mathematics for CS M. Hauskrecht Equality Definition: Two sets are equal if and only if they have the same elements.