Skip to main content

Solutions of Linear Inequalities

This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.

State

A linear inequality's solution is the set of every value that makes it true — typically an interval, not a single number.

Show

x + 3 < 7 is satisfied by 0, by 3.9, by −100 — the whole interval (−∞, 4), written in one stroke.

Watch for

Solving an inequality means naming the whole set.

Builds on

  • Nothing — this is a starting point.

Unlocks

  • Nothing yet depends on this.