May 28th, 2015
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College AlgebraModule 1 Sets and Real NumbersThe module consists of the following :1. Sets and the Real Numbers2. Operations on Sets3. Venn Euler Diagram4. The Real Numbers and the Number LineObjective of the ModuleAt the end of the module, the student should be able to :1. Identify the types of sets2. Write sets and identify the kind of sets.3. Solve problems involving Venn-Euler diagram4. Familiarize real number and the number lines.SETS AND THE REAL NUMBERSThe basic problems encountered in the study of any subject is the language problem, mathematics is not different from them. In fact, there are certain theories and concepts which written in different form that may not understand by a common person. This module will introduce certain terms and concepts that are basic in mathematics.For the introduction in the study of the subject, set theory will be the medium used so that the students can be provided with this to facilitate their learning in other fields of mathematics as they progress in the study of higher mathematics.Set theory was developed by George Cantor, a German mathematician towards the end of the 19th century and its impact in the study of mathematics are widely recognized.DEFINITIONS, SET NOTATIONS AND OPERATIONSSet is defined as a well defined collection of objects, concrete or abstract of any kind.It can be noted that well defined means that there is a common characteristic of such elements to enable us to say wether

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