100 Chapter 1 Linear Equations and Inequalities in One Variable Solving an Absolute Value Equation Solve the equation. Solution: Isolate the absolute value. Divide both sides by 2. Rewrite as two equations. Multiply by 5 to clear fractions. 2 ` 2 2 ` 2 5 p 3 ` 12 2 ` 2 5 p 3 ` 2 12 2 2 5 p 3 6 or 2p 15 30 or 2p 15 30 2p 15 or 2p 45 or p e 15 2 45 2 f p 15 2 The solution set is , . Skill Practice Solve the equation. 7. a 1 ` 2 14 Both values check in the original equation. Solving an Absolute Value Equation 3 ` 3 2 Example 5 Solve the equation. Solution: Isolate the absolute value. Rewrite as two equations. Notice that the equations are the same. 6.9 04.1 p 0 6.9 6.9 04.1 p 0 6.9 0 4.1 p 0 6.9 6.9 0 4.1 p 0 0 4.1 p 0 or 4.1 p 0 45 2 2 5 p 3 6 ` 2 5 p 3 ` 6 2 ` 2 5 p 3 ` 7 19 5 p 3 ` 7 19 Example 4 Answer 7. e 2, 10 3 f First write the absolute value on the left. Then subtract 6.9 from both sides to write the equation in the form 0 x 0 . a
miller_intermediate_algebra_4e_ch1_3
To see the actual publication please follow the link above