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Solve inequalities with x on both sides

Year 10 maths · Fieldbook Learning

Name ______________________ Date __________

Gather the x terms on one side. Flip the sign if you divide by a negative number.

  1. Solve: 3x + 6 < −2x − 9. Write the answer as x < a number or x > a number.
  2. Solve: 6x + 6 < 3x. Write the answer as x < a number or x > a number.
  3. Solve: 3x + 10 < −6x − 17. Write the answer as x < a number or x > a number.
  4. Solve: 6x − 8 > 5x − 7. Write the answer as x < a number or x > a number.
  5. Solve: x + 4 < 3x + 2. Write the answer as x < a number or x > a number.
  6. Solve: 4x + 7 < x + 7. Write the answer as x < a number or x > a number.
  7. Solve: 3x − 12 < −5x + 4. Write the answer as x < a number or x > a number.
  8. Solve: 2x − 11 < 5x − 5. Write the answer as x < a number or x > a number.
  9. Solve: −x − 5 > −4x − 11. Write the answer as x < a number or x > a number.
  10. Solve: 3x + 11 < 4x + 7. Write the answer as x < a number or x > a number.
  11. Solve: −6x − 7 > 6x + 101. Write the answer as x < a number or x > a number.
  12. Solve: −2x − 3 > −6x + 29. Write the answer as x < a number or x > a number.
  13. Solve: −5x − 8 > x + 76. Write the answer as x < a number or x > a number.
  14. Solve: −3x − 9 > −x − 39. Write the answer as x < a number or x > a number.
  15. Solve: 2x > −x − 42. Write the answer as x < a number or x > a number.
  16. Solve: x − 4 > −5x + 32. Write the answer as x < a number or x > a number.
  17. Solve: −3x − 1 < −6x + 47. Write the answer as x < a number or x > a number.
  18. Solve: 4x + 10 < x + 37. Write the answer as x < a number or x > a number.
  19. Solve: 6x + 7 > −x − 42. Write the answer as x < a number or x > a number.
  20. Solve: 2x − 12 < −4x + 60. Write the answer as x < a number or x > a number.
More free practice: fieldbooklearning.com/uk/practice/year-10/solve-inequalities-with-x-on-both-sides/

Answer key: Solve inequalities with x on both sides

  1. <, -3
  2. <, -2
  3. <, -3
  4. >, 1
  5. >, 1
  6. <, 0
  7. <, 2
  8. >, -2
  9. >, -2
  10. >, 4
  11. <, -9
  12. >, 8
  13. <, -14
  14. <, 15
  15. >, -14
  16. >, 6
  17. <, 16
  18. <, 9
  19. >, -7
  20. <, 12