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Section 2.8 Linear Inequalities 193 Concept 1: Graphing Linear Inequalities For Exercises 5–16, graph the solution set of each inequality. (See Examples 1 and 2.) 5 2 5. 6. 7. 8. x x 6 1 x 7 5 x 7.2 9. 10. 11. 12. 13. 14. 15. 16. 3 m 0 6 x 6 4 4 6 y 6 1 1 6 p 8 3 t 6 3 ) ( ( ) ( ) Concept 2: Set-Builder Notation and Interval Notation For Exercises 17–22, graph each inequality and write the solution set in interval notation. (See Example 3.) 8 9 13 7 p 12 t 2 y 6.5 Set-Builder Notation Graph Interval Notation 17. 18. 19. 20. 5x 0 x 66 ex 0 1 2 6 x 4 f 5x 0 x 2.16 ex 0 x 7 7 3 f 5x 0 2 6 x 76 21. 22. 5x 0 x 6 56 36, 2 a1 2 , 4 d 1, 2.1 4 a7 3 , b 12, 7 4 1, 52 5 ( 7.2 52 ) 1 ) 13 12 6.5 2 3 89 4 0 4 1 1 8 3 3 6 2.1 ( 73 ( 2 7 ) 5 4 ( 12 For Exercises 23–28, write each set in set-builder notation and in interval notation. (See Example 3.) Set-Builder Notation Graph Interval Notation 23. ex 0 3 x 7 f a3 , b 4 4 24. 5x 0 x 0.36 5x 01 6 x 6 86 5x 0 x 06 5x 0 x 146 5x 0 0 6 x 96 1, 0.34 11, 82 30, 2 1, 144 10, 9 4 ( 34 0.3 ( ) 1 8 0 14 ( 0 9 25. 26. 27. 28. Writing     Translating Expression     Geometry      Scientific Calculator     Video


miller_introductory_algebra_3e_ch1_3
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