AND 2 - Q8) Lesson 1-5: Solving Inequalifies in One Variable Page 30 Solve each inequality and graph the solution. SEE EXAMPLES 1 AND 4 15. \( x+9>15 \) 16. \( -\frac{1}{5} x>-10 \) 17. \( 5 x+15 \leq-10 \) 18. \( -0.3 x<6 \) 19. \( 6 x \geq-0.3 \) 20. \( -3 x>15 \) 21. \( \frac{1}{4} x>\frac{1}{2} \) 22. \( x-8.4 \leq 2.3 \) Q9) Lesson 1-6: Compound Inequalifies page 37 Solve each compound inequality and graph the solution. 39. \( 2 x-3>5 \) or \( 3 x-1<8 \) 40. \( x-6 \leq 18 \) and \( 3-2 x \geq 11 \) 41. \( \frac{1}{2} x-5>-3 \) or \( \frac{2}{3} x+4<3 \) 42. \( 3(2 x-5)>15 \) and \( 4(2 x-1)>10 \)
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### Q8) Lesson 1-5: Solving Inequalities in One Variable 15. \( x + 9 > 15 \) Show more…
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Practice Exercises Solve each polynomial inequality in Exercises 1-42 and graph the solution set on a real number line. Express each solution set in interval notation. 1. (x - 4)(x + 2) > 0 2. (x + 3)(x - 5) > 0 3. (x - 7)(x + 3) ≤ 0 4. (x + 1)(x - 7) ≤ 0 5. x² - 5x + 4 > 0 6. x² - 4x + 3 < 0 7. x² + 5x + 4 > 0 8. x² + x - 6 > 0 9. x² - 6x + 9 < 0 10. x² - 2x + 1 > 0 11. 3x² + 10x - 8 ≤ 0 12. 9x² + 3x - 2 ≥ 0 13. 2x² + x < 15 14. 6x² + x > 1 15. 4x² + 7x < -3 16. 3x² + 16x < -5 17. 5x ≤ 2 - 3x² 18. 4x² + 1 ≥ 4x 19. x² - 4x ≥ 0 20. x² + 2x < 0 21. 2x² + 3x > 0 22. 3x² - 5x ≤ 0 23. -x² + x ≥ 0 24. -x² + 2x ≥ 0 25. x² ≤ 4x - 2 26. x² ≤ 2x + 2 27. 9x² - 6x + 1 < 0 28. 4x² - 4x + 1 ≥ 0 29. (x - 1)(x - 2)(x - 3) ≥ 0 30. (x + 1)(x + 2)(x + 3) ≥ 0 31. x(3 - x)(x - 5) ≤ 0 32. x(4 - x)(x - 6) ≤ 0 33. (2 - x)²(x - 7/2) < 0 34. (5 - x)²(x - 13/2) < 0 35. x³ + 2x² - x - 2 ≥ 0 36. x³ + 2x² - 4x - 8 ≥ 0 37. x³ - 3x² - 9x + 27 < 0 38. x³ + 7x² - x - 7 < 0 39. x³ + x² + 4x + 4 > 0 40. x³ - x² + 9x - 9 > 0 41. x³ ≥ 9x² 42. x³ ≤ 4x² Solve each rational inequality in Exercises 43-60 and graph the solution set on a real number line. Express each solution set in interval notation. 43. (x - 4)/(x + 3) > 0 44. (x + 5)/(x - 2) > 0
Cheryl G.
13-38 Solve the inequality in terms of intervals and illustrate the solution set on the real number line. 13. 2x + 7 > 3 14. 3x - 11 < 4 15. 1 - x ≤ 2 16. 4 - 3x ≥ 6 17. 2x + 1 < 5x - 8 18. 1 + 5x > 5 - 3x 19. -1 < 2x - 5 < 7 20. 1 < 3x + 4 ≤ 16 21. 0 ≤ 1 - x < 1 22. -5 ≤ 3 - 2x ≤ 9 23. 4x < 2x + 1 ≤ 3x + 2 24. 2x - 3 < x + 4 < 3x - 2 25. (x - 1)(x - 2) > 0 26. (2x + 3)(x - 1) ≥ 0 27. 2x^2 + x ≤ 1 28. x^2 < 2x + 8 29. x^2 + x + 1 > 0 30. x^2 + x > 1 31. x^2 < 3 32. x^2 ≥ 5 33. x^3 - x^2 ≤ 0 34. (x + 1)(x - 2)(x + 3) ≥ 0 35. x^3 > x 36. x^3 + 3x < 4x^2 37. 1/x < 4 38. -3 < 1/x ≤ 1
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Solve each compound inequality. $$3 \leq 4 x-3<19$$
Prerequisites: Fundamental Concepts of Algebra
Linear Inequalities and Absolute Value Inequalities
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