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Solve linear inequalities

Year 10 maths · Fieldbook Learning

Name ______________________ Date __________

Solve it like an equation, but flip the sign when you multiply or divide by a negative number.

  1. Solve: x + 13 > 22. Write the answer as x < a number or x > a number.
  2. Solve: −5x + 14 < −1. Write the answer as x < a number or x > a number.
  3. Solve: 5x + 12 > −23. Write the answer as x < a number or x > a number.
  4. Solve: x + 11 < 6. Write the answer as x < a number or x > a number.
  5. Solve: −5x − 1 > −31. Write the answer as x < a number or x > a number.
  6. Solve: 3x − 14 > −17. Write the answer as x < a number or x > a number.
  7. Solve: −2x + 1 > −5. Write the answer as x < a number or x > a number.
  8. Solve: −x − 5 < −4. Write the answer as x < a number or x > a number.
  9. Solve: 6x + 15 > 63. Write the answer as x < a number or x > a number.
  10. Solve: 2x − 10 < 8. Write the answer as x < a number or x > a number.
  11. Solve: 6x + 12 < 6. Write the answer as x < a number or x > a number.
  12. Solve: −x − 7 > 1. Write the answer as x < a number or x > a number.
  13. Solve: −2x − 4 > 8. Write the answer as x < a number or x > a number.
  14. Solve: −3x + 14 < −4. Write the answer as x < a number or x > a number.
  15. Solve: 5x + 7 > 32. Write the answer as x < a number or x > a number.
  16. Solve: −5x − 13 < −53. Write the answer as x < a number or x > a number.
  17. Solve: 2x − 7 > −13. Write the answer as x < a number or x > a number.
  18. Solve: −4x + 12 < 44. Write the answer as x < a number or x > a number.
  19. Solve: 3x + 13 > −11. Write the answer as x < a number or x > a number.
  20. Solve: −x + 13 < 18. Write the answer as x < a number or x > a number.
More free practice: fieldbooklearning.com/uk/practice/year-10/solve-linear-inequalities/

Answer key: Solve linear inequalities

  1. >, 9
  2. >, 3
  3. >, -7
  4. <, -5
  5. <, 6
  6. >, -1
  7. <, 3
  8. >, -1
  9. >, 8
  10. <, 9
  11. <, -1
  12. <, -8
  13. <, -6
  14. >, 6
  15. >, 5
  16. >, 8
  17. >, -3
  18. >, -8
  19. >, -8
  20. >, -5