Inequalities on a Number Line - Ranges
Example
We aren’t
an equal
match
This shows that x is greater than or equal to-1 and x is less than 3
x ≥ -1 and x < 3.
We can write this in one single line as -1 ≤ x < 3
Notice that we change round the order of the first part, but it still means the same thing.
x ≥-1 means the same as -1 ≤ x
Task:
Mark the following inequalities on the number lines:
1<𝑥<5
0<𝑥<2
−1 < 𝑥 < 3
−2 ≤ 𝑥 < 3
−4 ≤ 𝑥 < −2
−5 < 𝑥 ≤ 0
2<𝑥≤5
Task 2:
Choose your difficulty, then put these inequalities into words:
1. 𝑥 < −2
2. 𝑥 > 20
3. 𝑥 ≤ −2
4. 𝑥 ≥ 10
5. −1 ≤ 𝑥 ≤ 6
6. 50 ≤ 𝑥 ≤ 51
7. 0 < 𝑥 < 9
1
8. − 2 ≤ 𝑥 < 0
9
9. 0.5 ≤ 𝑥 < 10
16. 6𝑘 ≤ 𝑥 < 7𝑘
1
10. 0.03 ≤ 𝑥 < 5
4
11. − 5 ≤ 𝑥 < 0
12. −8 < 𝑥 ≤ 9
17. 2 𝑝 ≤ 𝑥 < 𝑚
18. 𝑔ℎ ≤ 𝑥 < 𝑟
19. 𝑎𝑏 ≤ 𝑥 < 𝑏𝑐
1
13. 2% < 𝑥 < 90%
1
20. 8 𝑚 ≤ 𝑥 ≤ 2 𝑚
1
21. −∞ ≤ 𝑥 < ∞
Medium
Hard
14. 𝑥 ≥ 3
Easy
15. 𝑏 ≤ 𝑥 < 𝑝