Interpret Inequalities on Number Lines - 6th Grade Math

1. Find the true inequality: $-1$ compared to $2$ is $-1\,\_\,2$.

   $-1<2$. Negative numbers are always less than positive numbers.

2. Choose the word that completes the statement: If $a<b$, then $a$ is ____ of $b$ on a number line.

   to the left. Less than means the first number is left of the second.

3. Which inequality is true: $0\le 0$ or $0<0$?

   $0\le 0$. A number is always less than or equal to itself.

4. Choose the correct statement: $-8\le -8$ or $-8<-8$.

   $-8\le -8$. A number is always less than or equal to itself.

5. Identify the correct inequality: $-4\;\square\;-9$ using number line position.

   $-4>-9$. $-4$ is closer to zero than $-9$, so it's greater.

6. Which symbol makes the statement true: $5\ \square\ -1$ if $5$ is right of $-1$ on a number line?

   $>$. Numbers to the right are greater than numbers to the left.

7. Which statement is always true when $a=b$: $a\le b$ or $a<b$?

   $a\le b$. Equal values satisfy $\le$ (less than or equal to).

8. Identify the inequality that matches: "$r$ is not right of $s$ on the number line."

   $r\le s$. Not right means at the same position or to the left.

9. Which symbol completes the statement: $-1\;\square\;0$ to show the true relationship on a number line?

   $<$. Negative numbers are to the left of zero.

10. Which inequality is true if point $p$ is to the right of point $q$ on a number line?

    $p>q$. Right position means greater than the left position.

11. Which inequality correctly matches the number line idea "to the right of $0$": $x>0$ or $x<0$?

    $x>0$. Right of zero means positive, which is greater than zero.

12. Identify the true statement about order on a number line: if $a>b$, which is farther right?

    $a$ is farther right than $b$. Greater values are positioned farther right.

13. Choose the word that completes the statement: If $a>b$, then $a$ is ____ of $b$ on a number line.

    to the right. Greater than means the first number is right of the second.

14. Identify the correct inequality: $-10\;\square\;-3$ using number line position.

    $-10<-3$. $-10$ is farther from zero than $-3$, so it's less.

15. Identify the correct inequality if $-3$ is to the right of $-5$ on a number line.

    $-3>-5$. On the number line, $-3$ is closer to zero than $-5$.

16. What inequality compares positions correctly if $m$ is 5 units left of $n$ on a number line?

    $m<n$. Being left of another number means less than.

17. Choose the correct inequality: $-1.2\ \square\ -1.02$.

    $-1.2<-1.02$. $-1.2$ is left of $-1.02$ on the number line.

18. Which statement is always true when $a=b$: $a\ge b$ or $a>b$?

    $a\ge b$. Equal values satisfy $\ge$ (greater than or equal to).

19. What does the inequality $a>b$ mean about the positions of $a$ and $b$ on a number line?

    $a$ is to the right of $b$. Greater values are positioned to the right on a number line.

20. Identify the correct comparison: if $a$ and $b$ are at the same point, which statement is always true?

    $a=b$. Same position means the values are equal.

21. What does the inequality $a\le b$ mean about the relative positions of $a$ and $b$ on a number line?

    $a$ is to the left of $b$ or at the same point as $b$. Less than or equal to means left of or at the same position.

22. What does the inequality $a<b$ mean on a number line?

    $a$ is to the left of $b$. Less than means the first number is positioned farther left.

23. Which symbol completes the statement: $-3\;\square\;-7$ to show the true relationship on a number line?

    $>$. $-3$ is closer to zero than $-7$, so it's to the right.

24. Which inequality is true if point $x$ is to the left of point $y$ on a number line?

    $x<y$. Left position means less than the right position.

25. Choose the correct inequality for positions: If $t$ is to the right of $0$, which must be true?

    $t>0$. Numbers right of zero are positive.

26. Which inequality is true if two points are at the same location: $u=v$ or $u>v$?

    $u=v$. Same location means equal, not greater than.

27. What does the inequality $a\ge b$ mean about the positions of $a$ and $b$ on a number line?

    $a$ is right of $b$ or at the same point. Greater than or equal to means right of or at the same position.

28. Which number is to the right on a number line: $\frac{1}{2}$ or $\frac{3}{4}$?

    $\frac{3}{4}$. $\frac{3}{4}=0.75$ is greater than $\frac{1}{2}=0.5$.

29. What does the inequality $a<b$ mean about the positions of $a$ and $b$ on a number line?

    $a$ is to the left of $b$. Smaller values are positioned to the left on a number line.

30. Identify the correct inequality if $x$ is at the same point as $y$ on a number line.

    $x\ge y$ and $x\le y$. Same position means both $\ge$ and $\le$ are true.

31. What does the inequality $a<b$ mean about the positions of $a$ and $b$ on a number line?

    $a$ is to the left of $b$ on the number line. Lesser values appear farther left on the number line.

32. Which inequality matches the number line fact "$0$ is right of $-1$"?

    $0>-1$. Positive numbers are always right of negative numbers.

33. Which symbol makes this statement true: $-2\ \square\ 3$ if $-2$ is left of $3$ on the number line?

    $<$. Numbers to the left are less than numbers to the right.

34. What does the inequality $a\le b$ mean about the positions of $a$ and $b$ on a number line?

    $a$ is to the left of $b$ or at the same point as $b$. Less than or equal to means left of or at the same position.

35. Identify the inequality that matches: "$p$ is not left of $q$ on the number line."

    $p\ge q$. Not left means at the same position or to the right.

36. Which symbol allows $a$ to be at the same point as $b$ on a number line: $<$ or $\le$?

    $\le$. The "or equal to" part of $\le$ includes same position.

37. Which number is less on a number line: $-2$ or $3$?

    $-2$. Negative numbers are always less than positive numbers.

38. What does the inequality $a\ge b$ mean about the positions of $a$ and $b$ on a number line?

    $a$ is to the right of $b$ or at the same point as $b$. Greater than or equal to means right of or at the same position.

39. Which inequality matches this statement: "$-7$ is to the left of $-1$"?

    $-7<-1$. "To the left of" translates to the less than symbol.

40. Which number is less on a number line: $-0.4$ or $0.1$?

    $-0.4$. Negative numbers are left of positive numbers.

41. Identify the correct inequality if $-7$ is to the left of $-2$ on a number line.

    $-7<-2$. Negative numbers increase as they approach zero from the left.

42. Which symbol makes this statement true: $4\ \square\ -1$ if $4$ is right of $-1$ on the number line?

    $>$. Numbers to the right are greater than numbers to the left.

43. Which inequality correctly matches the number line idea "to the left of $0$": $x<0$ or $x>0$?

    $x<0$. Left of zero means negative, which is less than zero.

44. What does the inequality $a>b$ mean on a number line?

    $a$ is to the right of $b$. Greater than means the first number is positioned farther right.

45. Identify the correct inequality: Which is true on a number line, $-5>-2$ or $-5<-2$?

    $-5<-2$. $-5$ is left of $-2$ on the number line, so it's less.

46. Which symbol makes the statement true: $-3\ \square\ 2$ if $-3$ is left of $2$ on a number line?

    $<$. Numbers to the left are less than numbers to the right.

47. Find the true inequality: $3$ compared to $-4$ is $3\,\_\,-4$.

    $3>-4$. Positive numbers are always greater than negative numbers.

48. Choose the correct inequality: $-\frac{1}{2} \square -\frac{3}{4}$.

    $-\frac{1}{2} > -\frac{3}{4}$. $-\frac{1}{2}$ is right of $-\frac{3}{4}$ on the number line.

49. What inequality compares the positions correctly if $x$ is right of $y$ on a number line?

    $x>y$. Right position means greater than in inequality notation.

50. Which inequality matches this statement: "$-2$ is to the right of $-5$"?

    $-2>-5$. "To the right of" translates to the greater than symbol.

51. What does the inequality $a\ge b$ mean about the relative positions of $a$ and $b$ on a number line?

    $a$ is to the right of $b$ or at the same point as $b$. Greater than or equal to means right of or at the same position.

52. Which inequality is equivalent to "$t$ is not left of $s$ on a number line"?

    $t\ge s$. Not left means either at the same position or to the right.

53. What does the inequality $a\ge b$ mean on a number line?

    $a$ is to the right of $b$ or at $b$. Greater than or equal allows the same position or farther right.

54. Which inequality is true: $-6\le -6$ or $-6<-6$?

    $-6\le -6$. A number is less than or equal to itself (equal part is true).

55. Which inequality is true: $-2<-5$ or $-2>-5$?

    $-2>-5$. $-2$ is closer to zero than $-5$, making it greater.

56. What inequality compares positions correctly if $x$ is 2 units right of $y$ on a number line?

    $x>y$. Being right of another number means greater than.

57. Which number is greater on a number line: $-4$ or $-7$?

    $-4$. $-4$ is to the right of $-7$, so it's greater.

58. What does the statement $a=b$ mean about the positions of $a$ and $b$ on a number line?

    $a$ and $b$ are at the same point on the number line. Equal values occupy the same position on the number line.

59. What inequality compares the positions correctly if $x$ is left of $y$ on a number line?

    $x<y$. Left position means less than in inequality notation.

60. Which symbol completes the statement: $-8\;\square\;-2$ to show the true relationship on a number line?

    $<$. $-8$ is farther from zero than $-2$, so it's to the left.

61. Identify the correct inequality: Which is true on a number line, $0<\frac{1}{3}$ or $0>\frac{1}{3}$?

    $0<\frac{1}{3}$. Positive numbers are always right of zero on the number line.

62. Choose the correct statement: $-2>-5$ or $-2<-5$.

    $-2>-5$. $-2$ is closer to zero, making it greater than $-5$.

63. Find the true statement about number line position: Is $-9$ left or right of $-4$?

    $-9$ is to the left of $-4$. $-9$ is farther from zero than $-4$ on the number line.

64. Which symbol completes the statement: $4\;\square\;4$ to show the true relationship on a number line?

    $=$. A number equals itself at the same position.

65. Choose the correct inequality for positions: If $w$ is to the left of $0$, which must be true?

    $w<0$. Numbers left of zero are negative.

66. What does the inequality $a>b$ mean about the positions of $a$ and $b$ on a number line?

    $a$ is to the right of $b$ on the number line. Greater values appear farther right on the number line.

67. Which number is greater on a number line: $-3$ or $-7$?

    $-3$. $-3$ is right of $-7$ on the number line.

68. Which symbol completes the statement: $0\;\square\;-5$ to show the true relationship on a number line?

    $>$. Zero is to the right of all negative numbers.

69. Find the true statement: Which is correct, $-6\le -6$ or $-6<-6$?

    $-6\le -6$. A number is always less than or equal to itself.

70. What does the inequality $a\le b$ mean on a number line?

    $a$ is to the left of $b$ or at $b$. Less than or equal allows the same position or farther left.

71. What does the inequality $a\le b$ mean about the positions of $a$ and $b$ on a number line?

    $a$ is left of $b$ or at the same point. Less than or equal to means left of or at the same position.

72. Which inequality matches the number line fact "$4$ is left of $9$"?

    $4<9$. Left position translates to the less than symbol.

73. Which symbol makes $a$ strictly to the right of $b$ on a number line: $>$ or $\ge$?

    $>$. Only $>$ excludes the possibility of equal positions.

74. Which number is farther right on the number line: $\frac{1}{2}$ or $\frac{2}{3}$?

    $\frac{2}{3}$. $\frac{2}{3} \approx 0.67 > \frac{1}{2} = 0.5$, so it's farther right.

75. Which inequality is equivalent to "$b$ is to the left of $a$ on a number line"?

    $b<a$. This reverses the order: $b$ left of $a$ means $b<a$.

76. Which inequality is true: $-6<-1$ or $-6>-1$?

    $-6<-1$. $-6$ is to the left of $-1$ on the number line.

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