Chapter 8.pdf - CHAPTER 8 More on Inequalities Source Elementary Intermediate Algebra Fourth Edition Prepared and Edited by Dr Mohamad Hammoudi Topics

# Chapter 8.pdf - CHAPTER 8 More on Inequalities Source...

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CHAPTER 8 More on Inequalities Source: Elementary & Intermediate Algebra, Fourth Edition Prepared and Edited by: Dr. Mohamad Hammoudi
Topics of Chapter 8 8.2: Solving Absolute-Value Equations and Inequalities in One Variable 8.3: Solving Systems of Linear Inequalities in Two Variables 2
8.2: Solving Absolute-Value Equations Objectives: 8.2.1: Find the absolute value of an expression 8.2.2: Solve an absolute-value equation 3
8.2.1: Find the Absolute Value of an Expression The absolute value of a real number is the distance from that real number to 0. Because absolute value is a distance, it is always positive . Formally, we say Examples: Find the absolute value for each expression. (a) ǀ 3 ǀ (b) ǀ 7 2 ǀ (c) ǀ 7 2 ǀ 4
8.2.2: Solve an Absolute-Value Equation Given an equation such as ǀ x ǀ = 5, there are two possible solutions. The value of x could be 5 or 5. In either case, the absolute value is 5. This can be generalized in the following property of absolute-value equations. The variable must be positive because an equation such as ǀ x ǀ = 5 has no solution. 5
8.2.2: Solve an Absolute-Value Equation For ǀ x ǀ = + p, where p>0, x = p or x = p S.S. = {p, -p} For ǀ x ǀ = 0 x = 0 S.S. = {0} For ǀ x ǀ = - p, where p<0, No solution S.S. = { } or Ø 6
8.2.2: Solve an Absolute-Value Equation

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• Fall '18
• jane
• Accounting, Elementary algebra, Negative and non-negative numbers, Binary relation

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