AI generatedAlgebraKey Stage 3

Inequalities: dividing by a negative

Inequalities: dividing by a negative

  • Add or subtract the same amount on both sides without changing the inequality sign.
  • Multiplying or dividing both sides by a negative number reverses the inequality sign.
  • Every condition must hold. Use open endpoints for < or >, and closed endpoints for ≤ or ≥.

Example 1

Solve the inequality.

Divide both sides by . Reverse the inequality sign because this number is negative.
Values above -5. -5 excluded.

Example 2

Solve the inequality.

Divide both sides by . Reverse the inequality sign because this number is negative.
Values below -5. -5 included.

Your turn

Question 1

Solve the inequality.

Check answer
Divide both sides by . Reverse the inequality sign because this number is negative.
Values below -5. -5 excluded.
Question 2

Solve the inequality.

Check answer
Divide both sides by . Reverse the inequality sign because this number is negative.
Values above -5. -5 included.
Question 3

Solve the inequality.

Check answer
Divide both sides by . Reverse the inequality sign because this number is negative.
Values above -5. -5 excluded.
Question 4

Solve the inequality.

Check answer
Divide both sides by . Reverse the inequality sign because this number is negative.
Values below -5. -5 included.
Question 5

Solve the inequality.

Check answer
Divide both sides by . Reverse the inequality sign because this number is negative.
Values below -5. -5 excluded.
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