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1. Solve 3x + 2 ≤ -7 x ≤ 3 x ≤ -3 x ≥ 3 x ≥ -3 2. Solve 6 - x > 8 x < -2 x < 2 x > -2 x > 2 3. Solve 2(x - 3) > -4 x > 5 x > -5 x > -1 x > 1 4. Solve -3x + 7x > 20 x > 2 x > 5 x < -5 x > -5 5. Solve 4 - 2(x - 1) < -8 x < -3 x > 7 x > -5 x < 7 6. Solve -x - 9 < -5 x < 4 x < -4 x > 4 x > -4 7. Solve6x + 2 > 4x - 8 x > 5 x > -5 x > 3 x > -3 8. Solve x + 3 ≤ -7 - 4x x ≤ 1 x ≥ 2 x ≤ 2 x ≤ -2 9. Solve2(x + 11) > -3(x + 1) x > -5 x < 5 x < -5 x > 5 10. Solve -3 + x > 4 x > 2 x < -14 x > 14 x > -12 2 0 2 -2 4 -4 6 -6 8 -8 11. Which inequality matches the graph? -4 < x -4 > x -4 > x 4 > x 0 2 -2 4 -4 6 -6 8 -8 12. Which inequality matches the graph? t < 0 t ≤ 0 t > 0 t ≥ 0 0 2 -2 4 -4 13. Which inequality matches the graph? ½ > m ½ > m 1> m ½ < m 0 2 -2 4 -4 14. Which inequality matches the graph? 2 ½ < w 3 > w 3 < w 3 < w 0 2 -2 4 -4 6 -6 8 -8 15. Which inequality matches the graph? a < -9 a ≤ -9 a ≥ 9 a ≥ -9 16. Is -4 a solution of 3x > -9? Yes No 17. Which of the following is a solution of -3m - 1 ≥ 5? 3 -2 0 1 18. Is 5 a solution of b - 9 < 3? Yes No 19. Which inequality is illustrated by "You must be 16 years old to have a driver's license." d < 16 d > 16 d ≤ 16 d ≥ 16 20. Which inequality represented by "The maximum load of this elevator is 500 pounds." p < 500 p = 500 p ≤ 500 p ≥ 500 a. b. 21. Which graph matches 4 < x? -4 -4 -2 -2 0 0 2 2 Answer 4 4 6 6 0 2 -2 4 -4 6 -6 8 -8 The dot should be open. the dot should be open and the graph should be going the other way. The graph should be going left, not right. There is no mistake. 22. What is wrong with this graph? x > 6 23. Which statement says x < 5? 5 less than x x is at least 5 x is more than 5 x is less than 5 24. Which inequality reads"m is greater than 4"? m < 4 m ≤ 4 m > 4 m ≥ 4 0 2 -2 4 -4 25. Does the graph match the inequality? Yes No -1 > p 26. Match the graph with its inequality. Write the letterin the blank. Push "ok" only after you have filled in all the blanks! -5 0 5 -5 0 5 -5 0 5 -5 0 5 3 1. 2. 4. a. x ≥ 5b. x ≤ -5 c. -5 ≤ x ≥ 5 d. x ≥ 5 or x ≤ -5 27. Solve 8 < 2x < 12 4 < x < 10 3 < x < 5 4 < x < 7 4 < x < 6 28. Which inequality says that x is greater than -3 and less than 5? -3 > x < 5 5 < x > -3 -3 < x < 5 5 < x < -3 29. Solve -17 ≤ 8x - 1 ≤ 23 -2 < x < 3 -2 ≤ x ≤ 3 2 ≤ x ≤ 3 2 ≤ x ≤ 4 30. Solve 6 < -3x < 9 -2 < x < -3 2 < x < 3 -3 < x < -2 3 < x < 2 a b c d 31. Which graph shows -2 < x < 3? -8 -6 -4 -2 0 2 4 6 8 -8 -6 -4 -2 0 2 4 6 8 -8 -6 -4 -2 0 2 4 6 8 -8 -6 -4 -2 0 2 4 6 8 answer: 32. Solve -3x > 21 or 4x + 2 > 10 x > 2 or x < -7 x > -7 or x > 2 -7 < x < 2 -7 < x < 3 33. Solve 4x < 2x + 6 or -5x - 4 < -29 x < 3 or x < 5 3 < x < 5 x < 3 or x > 5 5 < x < 3 34. Solve x 2 > 4 or 5 - x > 9 x > 8 or x < -4 x > 2 or x > -4 x > 8 or x < -14 x > 8 or x < 14 35. Which inequality is the same as "pick a number between 0 and 10"? 0 ≤ x ≤ 10 0 < x < 10 x > 0 or x > 10 x > 0 or x < 10 0 < x < 10 a b c d 36. Which is the solution for 5x < 10 or x + 3x > 24? 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 answer: 37. Solve 3x + 2 ≤ -7 x ≤ 3 x ≤ -3 x ≥ 3 x ≥ -3 38. Solve 6 - x > 8 x < -2 x < 2 x > -2 x > 2 39. Solve 2(x - 3) > -4 x > 5 x > -5 x > -1 x > 1 40. Solve -3x + 7x > 20 x > 2 x > 5 x < -5 x > -5 41. Solve 4 - 2(x - 1) < -8 x < -3 x > 7 x > -5 x < 7 42. Solve -x - 9 < -5 x < 4 x < -4 x > 4 x > -4 43. Solve6x + 2 > 4x - 8 x > 5 x > -5 x > 3 x > -3 44. Solve x + 3 ≤ -7 - 4x x ≤ 1 x ≥ 2 x ≤ 2 x ≤ -2 45. Solve2(x + 11) > -3(x + 1) x > -5 x < 5 x < -5 x > 5 46. Solve -3 + x > 4 x > 2 x < -14 x > 14 x > -12 2 |