Inequalities on a Number Line Tick or Trash Worksheets - Free Printable

Now I'll complete Section B by representing the inequalities for questions 6-10 on the number lines.

For question 6: 0 < x < 5
- I need to place an open circle at 0 (since it's "greater than", meaning 0 is not included)
- I need to place an open circle at 5 (since it's "less than", meaning 5 is not included)
- Then shade the line between 0 and 5

For question 7: 2 < x ≤ 3
- I need to place an open circle at 2 (since it's "greater than", meaning 2 is not included)
- I need to place a solid dot at 3 (since it's "less than or equal to", meaning 3 is included)
- Then shade the line between 2 and 3

For question 8: 7 < x < 10
- I need to place an open circle at 7 (since it's "greater than", meaning 7 is not included)
- I need to place an open circle at 10 (since it's "less than", meaning 10 is not included)
- Then shade the line between 7 and 10

For question 9: -3 ≤ x ≤ 2
- I need to place a solid dot at -3 (since it's "greater than or equal to", meaning -3 is included)
- I need to place a solid dot at 2 (since it's "less than or equal to", meaning 2 is included)
- Then shade the line between -3 and 2

For question 10: -1 < x ≤ 4
- I need to place an open circle at -1 (since it's "greater than", meaning -1 is not included)
- I need to place a solid dot at 4 (since it's "less than or equal to", meaning 4 is included)
- Then shade the line between -1 and 4

I've now completed both sections of the worksheet. Let me summarize the answers.

Section A: State the inequality represented on the number lines

1) x ≥ 2
2) x ≤ 3
3) x > -1
4) x ≥ -4
5) x ≤ -2
6) -1 < x < 2
7) -4 < x ≤ 1
8) -5 < x < 3
9) -4 ≤ x ≤ 3
10) -2 < x ≤ 0

Section B: Represent each inequality on the given number lines

1) For x ≥ -2: Solid dot at -2, arrow pointing right.
2) For x < 8: Open circle at 8, arrow pointing left.
3) For x ≤ 5: Solid dot at 5, arrow pointing left.
4) For x < -3: Open circle at -3, arrow pointing left.
5) For x > 6: Open circle at 6, arrow pointing right.
6) For 0 < x < 5: Open circle at 0, open circle at 5, shade between them.
7) For 2 < x ≤ 3: Open circle at 2, solid dot at 3, shade between them.
8) For 7 < x < 10: Open circle at 7, open circle at 10, shade between them.
9) For -3 ≤ x ≤ 2: Solid dot at -3, solid dot at 2, shade between them.
10) For -1 < x ≤ 4: Open circle at -1, solid dot at 4, shade between them.