Mr. Integral

THE BIG IDEA

Inequalities

Where is a whole expression positive?

Instead of guessing individual solutions, divide the number line at zeros and undefined points. Within each interval, follow the signs of the factors and combine the resulting regions.

Begin the first lesson →See the lesson route ↓

3 lessons · No deadlines or locked lessons

SEE THE CONNECTIONS

How the ideas fit together.

A map of the main ideas. Follow a node to its lesson.

  1. Start with01Polynomial signs
  2. adding forbidden inputs extends to02Rational signs
  3. intersecting solution sets handles03Shared constraints

YOUR LEARNING ROUTE

One idea at a time.

Read the explanation, use the visualization, then try the check before opening its reasoning.

Keep the unit cheat sheet handy →
Polynomial Inequalities1 lessons
  1. 01Quadratic and Higher-Degree InequalitiesUse a sign chart to solve a polynomial inequality.
Rational Inequalities1 lessons
  1. 02Rational InequalitiesTrack signs and excluded points in rational inequalities.
Systems of Inequalities1 lessons
  1. 03Systems of InequalitiesIntersect solution sets when several inequalities must hold together.