T02_Equations_and_Inequalities

T02_Equations_and_Inequalities - Mathematics Department...

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PMC 0045 Pre-Calculus for Engineering Foundation in Engineering ONLINE NOTES Topic 2 Equations and Inequalities FOSEE , MULTIMEDIA UNIVERSITY (436821-T) MELAKA CAMPUS, JALAN AYER KEROH LAMA, 75450 MELAKA, MALAYSIA. Tel 606 252 3594 Fax 606 231 8799 URL: http://fosee.mmu.edu.my/~asd/ Mathematics Department (MD) Centre for Foundation Studies and Extension Education (FOSEE)
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PMC0045 Pre-Calculus for Engineering Topic 2 TOPIC 2: EQUATIONS AND INEQUALITIES References : 1. Sullivan, M. (2002), , 6 th Ed., Prentice Hall. 2. Blitzer, R., Goh Wei Wei, et.al. (2005), , Prentice Hall. Objectives: 1. To solve linear, quadratic and other types of equations. 2. To solve linear, quadratic, polynomial, and rational inequalities. 3. To graph inequalities. 4. To solve equations and inequalities involving absolute values. Contents: 2.1 Linear Equations 2.2 Quadratic Equations 2.3 Other Types of Equations 2.4 Linear Inequalities 2.5 Quadratic and Rational Inequalities 2.1 LINEAR EQUATIONS Equation : A statement that 2 expressions are equal. To solve an equation means to find all the values of its variables for which the equation is true. These values are called the solutions or roots of the equation, and they satisfy the equation. Identity: 3 2 2 5 3 + + + = + x x x Equivalent equations: (equations have the same solutions) Example 5 10 2 13 3 2 = = = + x x x Linear Equations in one variable A linear equation in one variable is equivalent to an equation of the form: 0 = + b ax where a and b are real numbers and 0 a . (also called a first-degree equation) ______________________________________________________________________________________ Mathematics Dept 2/ 7
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PMC0045 Pre-Calculus for Engineering Topic 2 Steps for solving linear equation: 1. If necessary, clear the equation of fractions by multiplying both sides’ denominators of all fractions. 2. Remove all parentheses and simplify. 3.
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This note was uploaded on 10/30/2010 for the course FOSEE CVL1040 taught by Professor None during the Spring '09 term at Multimedia University, Cyberjaya.

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T02_Equations_and_Inequalities - Mathematics Department...

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