�� ���������������� �������� EXERCISE SET Write About It! Use complete sentences in your answer to the following exercises. 1. Define an inequality in one variable. 2. When do you use brackets and when do you use parentheses when graphing solutions of inequalities? 3. What operation do you perform to both sides of an inequality that requires you to reverse the inequality symbol? 4. Explain how to write the interval notation for the solution set of an inequality. Use an example. 5. Explain how to write the interval notation for the solution set of a compound inequality, a ≤ x ≤ b. Use an example. 6. Explain how to write the interval notation for the solution set of a compound inequality, a < x ≤ b. Use an example. Determine if each statement is true or false. If the statement is false, explain why. 7. The value x = 2 is a solution of the inequality x - 3 > -1. 8. The solution set of -2x ≥ 4 is -2, ∞). 9. The inequality 5 > x is equivalent to x < 5. 10. The inequality -3 ≤ x ≤ 8 is equivalent to 8 ≥ x ≥ -3. 11. The inequality -6 ≤ -3x ≤ 12 is equivalent to 2 ≤ x ≤ -4. 12. Solving a linear inequality is no different from solving a linear equation. Practice Makes Perfect! Fill in the missing information. (See Objectives 1–3.) Inequality Graph Interval Notation Set-Builder Notation 13. x > -2 14. y ≥ -5 15. a < 1 16. x ≤ 8 17. –11 –10 –9 –8 –7 –6 0 1 2 3 4 18. –5 –4 –3 –2 –1 0 1 2 3 4 5 – 12 19. 1 2 3 4 5 6 7 8 9 10 11 20. –1 0 1 2 3 4 5 6 7 8 9 21. (-∞, -3 22. (2, ∞) 23. a-∞, 1 4 d 178 Chapter 2 Linear Equations and Inequalities in One Variable
hendricks_beginning_algebra_1e_ch1_3
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