Class 8 - Linear Inequalities In One Variable Worksheet 1

1. 1. If the replacement set = {-8, -6, -4, -2, 0, 1, 2}, then find the solution of

i) -6 < x < 1
ii) 0 ≤ x ≤ 3

2. Represent the solution of the following inequality graphically.

i) x ≤ 5, x &inin; N ii) x < 8, x &inin; W

3. If the replacement set = { -8, -6, -4, -2, 0, 2, 4, 6, 8}, then represent the solution set of the inequality -6 ≤ x < 4 graphically.

4. Find the solution set of the inequality x < 9, if the replacement set is i) {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} ii) { -1, 0, 1, 2, 5, 8}

5. Solve: -15 ≤ 4m − 7, x ∈ I

6. Solve: ^(2y-2)⁄₅ ≤ 4, y ∈ N

7. Solve: -3(p + 4) > 6, p ∈ I

8. Solve: ^p⁄₄ + 6 < 10, p ∈ W

9. Solve: ¹⁄₂ − ^y⁄₂ > -3, y ∈ N

10. Solve: ⁵⁄₂ − ^z⁄₂ < -3, z ∈ N

11. Solve: ³⁄₂ − ^x⁄₂ > -1, x ∈ N

12. Solve: 4(y − 2) < 3(y − 1), y ∈ W

13. If the replacement set is {-3, -2, -1, 0, 1, 2, 3}, solve the inequation ^(4x-1)⁄₃ < 2 and write solution set.

14. If Y ∈ {even integer}, represent the solution set of the inequation -7 ≤ y < 7 is ______.

15. if the replacement set is {-5, -4, -3, -1, 0, 1, 3}, then the solution set of -5 < x < 5 is ______.

16. Solve the inequality: ^-1⁄₃ ≤ ¹⁄₂ − ^x⁄₅ < 2, x ∈ I

17. Solve: 3p + 1 < 19, p ∈ N

18. Solve: ^(3y+2)⁄₃ + 1 ≤ 4, y ∈ W

19. Solve: 5 > 4x -15, x ∈ N

20. Solve: -8 ≤ 2x < 16, x ∈ I

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Linear Inequalities Worksheet-1Download the pdf

Class-8 Linear Inequalities Worksheets

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