Section 1.8 class notes_0

# Section 1.8 class notes_0 - Section 1.8 Absolute Value...

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Section 1.8 Absolute Value Equations and Inequalities Objective 1: Solving an Absolute Value Equation The absolute value of a number x , written as x , represents the distance from a number x to 0 on the number line. Consider the equation 5 x = . To solve for x , we must find all values of x that are 5 units away from 0 on the number line. The two numbers that are 5 units away from 0 on the number line are 5 and 5 x x = - = as shown in Figure 8. 5 units from 0 5 units from 0 -5 0 5 If 5, then 5 or 5 x x x = = - = . The solution set is { } 5,5 - . 1.8.2 Solve the equation for x. Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Objective 2: Solving an Absolute Value “Less Than” Inequality The solution to the inequality 5 x < consists of all values of x whose distance from 0 is less than 5 units on the number line. These values are all less than 5 units from 0. 6 4 4 4 4 4 4 447 4 4 4 4 4 4 4 48

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## This note was uploaded on 09/08/2011 for the course MATH 1001 taught by Professor Moshe during the Spring '09 term at LSU.

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Section 1.8 class notes_0 - Section 1.8 Absolute Value...

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