ALGEBRA 1 LESSON 3-6 Solve and check |a| – 3 = 5. |a| – 3 = 5 Add 3 to each side |a| = 8Simplify. a = 8 or a = –8Definition of absolute value. Check: |a| – 3 = 5 |8| – 3 5Substitute 8 and –8 for a.|–8| – – 3 = 5 8 – 3 = 5 Absolute Value Equations and Inequalities 3-6

ALGEBRA 1 LESSON 3-6 Solve |3c – 6| = 9. The value of c is 5 or –1. Absolute Value Equations and Inequalities 3-6 3c – 6 = 9Write two equations. 3c – 6 = –9 3c – 6 = 9 Add 6 to each side.3c – 6 = – c = 15 3c = –3 Divide each side by 3. 3c33c3 = c33c3 = –3 3 c = 5c = –1

ALGEBRA 1 LESSON 3-6 Solve |y – 5| 2. Graph the solutions. < 3 y 7 << Write a compound inequality.y – 5 –2 > y – 5 2 < and Add 5 to each side.y – –2 + 5 > y – < Simplify.y 3 > y 7 < and Absolute Value Equations and Inequalities 3-6

ALGEBRA 1 LESSON 3-6 Absolute Value Equations and Inequalities pages 169–172 Exercises 1.–2, 2 2.–4, 4 3.–, 4.–6, 6 5.–3, 3 6.–7, 7 7.–5, 5 8.–2, no solution 11.–3, –4, , –8, 4 15.–3, 1 16.–5, 1 17.–5, 9 18.no solution 19.–7, 1 20.–1, 1 21.–0.6, a.less than b.greater than k 2.5; 24.–2 < w < 2; 25.–8 < x < 2; 26.n –11 or n –5; 27.1 y 3; 28.1 p 7; 29.–2 < c < 7; 30.y –2 or y 5; 31.t 2 ; 32.x 2.5; 1313 > – < – < – < – < – < – < – > –

ALGEBRA 1 LESSON 3-6 Absolute Value Equations and Inequalities 33.t –2.4 or t 4; 34.–2 < r < 8; 3-6 > – < –