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Solving Linear Inequalities (Year 11)

Free printable UK Year 11 (GCSE Foundation) maths worksheet: solve linear inequalities for x, including cases where dividing by a negative number flips the inequality sign. Every answer computed.

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Grade 10 · Math worksheet
Name
Date
Math

Solving Linear Inequalities

Solve each linear inequality for x. Remember: dividing or multiplying both sides by a NEGATIVE number flips the direction of the inequality sign.

Word bank
X < 5X < 6X < -1X > -1X < -4X < -5X < -7X ≥ 8X ≥ -3X ≤ -9
  1. 1.
    Solve the inequality 4x + 4 > 0
  2. 2.
    Solve the inequality 4x ≥ -12
  3. 3.
    Solve the inequality -6x + 3 ≥ 57
  4. 4.
    Solve the inequality 6x + 8 < -22
  5. 5.
    Solve the inequality -6x - 12 > -6
  6. 6.
    Solve the inequality -4x > 16
  7. 7.
    Solve the inequality -2x + 14 > 2
  8. 8.
    Solve the inequality 2x - 12 < -2
  9. 9.
    Solve the inequality 6x - 5 < -47
  10. 10.
    Solve the inequality -2x - 14 ≤ -30
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