ARELLANO UNIVERSITY EXPANDED TERTIARY EDUCATION EQUIVALENCY AND ACCREDITATION PROGRAM (E T E E A P ) 2600 Legarda St., Manila, Philippines www.arellano.edu.ph GENERAL EDUCATION M O D ULE S CLUSTER 4 - MATHEMATICS Subjects: College Algebra Contemporary Math Elementary Statistics Basic Computer Computer Immersion Advance Computer Programming 1|Page LESSON 2 CONTEMPORARY MATH OBJECTIVES: 1. Define and illustrate different kinds of sets 2. Determine the elements of sets in three methods. 3. Identify the properties and the subsets of a given set A. SETS A set is a collection of distinct objects, considered as an object in its own right. Sets are one of the most fundamental concepts in mathematics. Developed at the end of the 19th century, set theory is now an omnipresent part of mathematics, and can be used as a foundation from which nearly all of mathematics can be derived. Georg Cantor, is the founder of set theory, was a German mathematician, best known as the inventor of set theory, which has become a fundamental theory in mathematics. A set is a collection of objects, things or symbols which are clearly defined. The individual objects in a set are called the members or elements of the set. The elements or members of a set can be anything: numbers, people, letters of the alphabet, other sets, and so on. Sets are conventionally denoted with capital letters. Sets A and B are equal if and only if they have precisely the same elements. There are three ways of doing this. 1. Listing the elements/ roster form The set can be defined by listing all its elements, separated by commas and enclosed within braces. Example: B = {2, 4, 6, 8, 10} X = {a, b, c, d, e} 2. Describing the elements/rule form The set can be defined, where possible, by describing the elements. Example: B = {x : x is an even integer,0