Class 8 - Linear Inequalities In One Variable Worksheet 1

1.If the replacement set = {-8, -7, -5, -3, -1, 0, 1, 3, 4, 5}, then find solution set of

i) -9 < x < 1
ii) 0 ≤ x ≤ 4

2. Solve: ^x⁄₄ + ¹⁄₅ < ^x⁄₈ + ¹⁄₂, x ∈ W

3. Solve: -2 < ^x⁄₂ + 2 ≤ 5, x ∈ I

4. Solve: 5 > 4x − 11, x ∈ N

5. Solve: 9 − x ≤ 12 − 2x, x ∈ N, represent solution set on number line.

6. Solve: 5(x − 2) < 3(x − 4), x ∈ I

7. Solve: -3x + 8 ≤ 2, x ∈ N

8. Solve: -9 (m + 2) > 7, m ∈ I, represent solution set on number line.

9. Solve: -3 ≤ 3x < 12, x ∈ I

10. Solve: 2(x − 3) > 3(x + 1) − 7, x ∈ I

11. Solve: 1 ≤ 2(x − 3) + 4 < 12, x ∈ W

12. Solve: 5x + 2 ≤ 17, x ∈ W, represent solution set on number line.

13. Solve: ²⁄₃ (2x + 1) + 5 ≤ 3 + ⁵⁄₃ (x + 1), x ∈ I

14. Solve: 15 < 3x + 1 ≤ 28, x ∈ I

15. Solve: 7x − 5 ≤ 25 + 2x, x ∈ N

16. Solve: 9 − 3(2 + 5x) < 33

17. Solve: -8 ≤ 3x − 5, x ∈ I

18. Solve: -2 < ^2x⁄₃ + 2 ≤ 10, x ∈ I

19. Solve: 5 − 20x ≤ -5, x ∈ N

20. Solve: 5 − 2x ≥ x − 16, x ∈ W, represent solution set on number line.

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Linear Inequalities Worksheet-2Download the pdf

Class-8 Linear Inequalities Worksheets

Linear-Equations-AnswerDownload the pdf