Let’s go through each number line one by one and write the correct inequality.
We look at:
- Where the circle is (open or closed)
- Which direction the arrow points
- What number the circle is on
Remember:
- Open circle = not including that number → use < or >
- Closed circle = including that number → use ≤ or ≥
- Arrow to the right = greater than
- Arrow to the left = less than
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1) Circle at 14, open, arrow to the left → x < 14
2) Circle at 5, closed, arrow to the left → x ≤ 5
3) Circle at -19, closed, arrow to the left → x ≤ -19
4) Circle at -120, open, arrow to the left → x < -120
5) Circle at 115, closed, arrow to the right → x ≥ 115
6) Circle at 5, closed, arrow to the left → x ≤ 5
7) Circle at -70, closed, arrow to the right → x ≥ -70
8) Circle at 3, open, arrow to the right → x > 3
9) Circle at -140, closed, arrow to the right → x ≥ -140
10) Circle at -15, open, arrow to the right → x > -15
11) Circle at -6, closed, arrow to the left → x ≤ -6
12) Circle at 65, closed, arrow to the right → x ≥ 65
13) Circle at -1, open, arrow to the right → x > -1
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Final Answer:
1. x < 14
2. x ≤ 5
3. x ≤ -19
4. x < -120
5. x ≥ 115
6. x ≤ 5
7. x ≥ -70
8. x > 3
9. x ≥ -140
10. x > -15
11. x ≤ -6
12. x ≥ 65
13. x > -1
Parent Tip: Review the logic above to help your child master the concept of inequalities on a number line worksheet.
