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SET

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Sets, Relations and Binary Operations Set Set is a collection of well defined objects which are distinct from each other. Sets are usually denoted by capital letters A, B,C,K and elements are usually denoted by small letters a, b, c,... . If a is an element of a set A, then we write a Î A and say a belongs to A or a is in A or a is a member of A. If a does not belongs to A, we write a ÏA. Standard Notations N : A set of natural numbers. W : A set of whole numbers. Z : A set of integers. Z+ / Z− : A set of all positive/negative integers. Q : A set of all rational numbers. Q+ / Q− : A set of all positive/negative rational numbers. R : A set of real numbers. R+ / R− : A set of all positive/negative real numbers. C : A set of all complex numbers. Methods for Describing a Set (i) Roster/Listing Method/Tabular Form In this method, a set is described by listing element, separated by commas, within braces. e.g. A = {a, e, i, o, u} (ii) Set Builder/Rule Method In this method, we write down a pr...