Mathematics — first biennium · Lesson
An inequality describes a set of values, not a single solution. ≤ or ≥ includes the endpoint; < or > excludes it.
Prerequisites: Equations and integer order
Goal: Interpret an inequality as a solution set and represent it as an interval.
In this lesson: Interpret an inequality as a solution set and represent it as an interval.
New concept: An inequality does not look for one number: it looks for every value that makes an inequality true. A solution interval is a compact way to describe that set on the real number line.
How to proceed: Read the direction first, then check whether equality is included: this determines the side of the line and whether the endpoint is closed or open.
You can already assume: Equations and integer order.
Completed exercises: 0/5 · Correct on first attempt: 0
Read the direction first, then check whether equality is included: this determines the side of the line and whether the endpoint is closed or open.
Data / situation: Consider x > -2.
ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.
Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.