Region · Combine · Intersect

Algebraic Inequalities

A three-lesson unit on solution regions: begin with one-dimensional inequalities, combine regions with AND or OR, then extend the same logic into overlapping half-planes.

Unit throughline

An inequality describes where solutions are allowed to live.

This page organizes the unit. The actual teaching lives in the lessons below, so each lesson can keep one primary question and one primary learning object.

one region → compound regions → overlapping half-planes
01live
One-Variable Inequalities
x < 3 → (−∞, 3)
02live
Compound Inequalities
intersection · union
03live
Systems of Inequalities
A ∩ B = feasible region
Lessons

Follow the sequence on a first pass. Planned lessons stay visible so the shape of the unit remains clear.