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Solving Linear Inequalities (Year 10)

Free printable UK Year 10 (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 9 · 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 < 6X > 4X > -8X ≤ 2X ≥ 5X ≤ 7X ≤ 8X ≤ -6
  1. 1.
    Solve the inequality -6x - 10 > -46
  2. 2.
    Solve the inequality 6x - 4 ≤ 44
  3. 3.
    Solve the inequality -4x + 13 ≤ -7
  4. 4.
    Solve the inequality 2x + 3 ≤ 19
  5. 5.
    Solve the inequality -5x - 4 < -24
  6. 6.
    Solve the inequality 2x - 8 ≤ -20
  7. 7.
    Solve the inequality 6x + 9 ≤ 51
  8. 8.
    Solve the inequality 3x - 10 ≤ -4
  9. 9.
    Solve the inequality -6x + 3 < 51
  10. 10.
    Solve the inequality 6x - 6 ≤ 42
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