Demystifying - When the inequality sign reverses

Drills

Multiplying or dividing by a negative flips the sign, every time and not just sometimes.

Author note — to cover

Cover the sign flip when multiplying or dividing an inequality by a negative, e.g. solving 5 − 2x > 11, alongside the alternative of moving the unknown to keep its coefficient positive; stress the flip happens on every such step and never for adding or subtracting. Both tiers. (A22)

  • Fluency — direct questions on when the inequality sign reverses, limited to this lesson's stated scope (4 questions).
  • Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
  • Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).

The test

—coming soon—

Where to go next

The method this drill practises is taught on When the inequality sign reverses.