1. Solve: $\dfrac{x-1}{2}<3$ (give your answer in interval notation).
2. Which inequality is equivalent to $5x - 3 \leq 2$?
3. Which values of $x$ satisfy $x + 5 geq 8$?
4. What is the range of $x$ if $|x - 4| > 3$?
5. Solve: $4x + 5 < 13$
6. What is the value of $|-3| - |-8| + |2|$?
7. A student needs a score $x$ that is between 2 and 7, not including 2 but including 7. Which inequality is equivalent to the interval $ (2,7]$?
8. What is the range of $x$ if $|x-3|<4$? (Write your answer as an inequality.)
9. Solve: $-\dfrac{x}{3} \ge 2$.
10. Solve: $7 + 3x > 16$
11. What is the solution set of the inequality $-2x+6>0$?
12. Solve: $|x+2|\le 5$ (give your answer in interval notation).
13. Which inequality is equivalent to $x-5\le -2$?
14. Which graph represents the solution to $-x + 5 > 3$?
15. What is the range of $x$ if $|x - 5| < 3$?
16. What is the solution set of the inequality $3x - 5 > 4$?
17. What is the solution set of the inequality $5 - x \leq 2$?
18. Which graph represents the solution to $2x + 1 \geq 5$?
19. Which values of $x$ satisfy $x^2 - 9 < 0$?
20. What is the solution set of the inequality $2x + 3 \leq 7$?
21. Solve: $-4x + 5 \leq 1$
22. A temperature controller requires the error from $10^\circ$ to be at most $3^\circ$. If the actual temperature is $x$, which values of $x$ satisfy $|x-10|\le 3$?
23. Which of the following inequalities represents the statement '5 less than 3 times a number $n$ is at least 10'?
24. Given $2 \le x \le 6$ and $-5 \le y \le -1$, what is the greatest possible value of $x - y$?
25. Which of the following defines the solution set for the compound inequality $-3 \< 2x - 5 \le 9$?
26. Which of the following gives the solution set for the inequality $-2x + 5 > 13$?
27. What is the solution set of the inequality $2x - 3 geq 5$?
28. Solve the compound inequality $-1\le 2x+3<7$ (write your answer as an inequality).
29. Which values of $x$ satisfy $|x-1|\ge 3$? (Give your answer in interval notation.)
30. Solve: $|2x-4|<6$ (give your answer in interval notation).
31. Which values of $x$ satisfy $5-x\ge 2$?
32. Solve: $2(x-4)\ge 6$.
33. Solve: $3x-5\le 7$ (give your answer in interval notation).
34. Which graph represents the solution to $-1<x\le 3$?
35. What is the range of $x$ if $|2x - 6| leq 4$?
36. Solve: $|3x + 1| < 7$
37. Solve: $|x + 2| \geq 5$
38. What is the range of $x$ if $|x - 4| < 3$?
39. Solve: $5 - 2x \leq 1$
40. What is the range of $x$ if $|x - 1| geq 4$?
41. Which values of $x$ satisfy $2 < x - 1 < 5$?
42. A machine setting $x$ must satisfy a compound constraint. Solve the inequality $-2\le x+4<3$ and give the solution as a compound inequality.
43. A quality check requires the error $x$ to be at least 3 units away from 2. Which values of $x$ satisfy $|x-2|\ge 3$? Give the solution set in interval notation.
44. A hiker’s elevation change from a reference point should be more than 2 units. Solve: $|x+1|>2$. Give the solution set in interval notation.
45. A delivery time $x$ (in minutes) must be at least 4 minutes less than 10. Solve the inequality $x-10\ge -4$ and give the solution set in interval notation.
46. A sensor is considered accurate if its reading $x$ is within 3 units of 8. What is the range of $x$ if $|x-8|\le 3$? Give your answer as a compound inequality.
47. A student records that the temperature difference from a target value should stay below 4 degrees. Solve the inequality $|x-3|<4$ and give the solution set in interval notation.
48. A store manager wants the number of customers $x$ in an hour to be at least 6. Which values of $x$ satisfy the inequality $2x-3\ge 9$?
49. Solve: $x + 7 > 2x + 1$
50. What is the solution set of the inequality $3x + 2 < 11$?
51. Which graph represents the solution to $x + 4 \leq 2$?
52. Solve: $4x - 1 \geq 7$
53. Which graph represents the solution to $x - 2 > 1$?
54. Which inequality is equivalent to $-2(x + 1) \geq 4$?
55. Solve: $6 - x < 2$
56. Which graph represents the solution to $2x - 1 < 3$?
57. What is the range of $x$ if $|x - 3| \leq 4$?
58. Solve: $4 - 2x \geq 6$
59. Solve: $-5x + 3 < 8$
60. What is the range of $x$ if $|2x + 1| < 7$?
61. What is the solution set of the inequality $3x - 5 < 7$?
62. What is the solution set of the inequality $-3x + 2 > -7$?
63. Solve: $|x-6|>2$ (give your answer in interval notation).
64. Solve: $-3(x-2)<9$.
65. What is the solution set of $4< x-2\le 9$ (give your answer in interval notation)?
66. Which inequality is equivalent to $x - 3 > 2$?
67. Which inequality is equivalent to $-2x + 3 > 9$?
68. What is the value of $|-3| - |-8| + |2|$?
69. Which of the following inequalities represents the statement '5 less than 3 times a number $n$ is at least 10'?