ConceptStep · learning platform for computer science

Systems of inequalities

Mathematics — first biennium · Lesson

Biennium · Common core

Systems of inequalities

Solving a system of inequalities means intersecting the solution sets, not taking their union.

Key idea
Formula matematica
Similar example
Formula matematica

Prerequisites: Linear inequalities

Goal: Intersect solution sets of several linear inequalities.

What you need to know before the exercises

In this lesson: Intersect solution sets of several linear inequalities.

How to proceed: Picture the two rays and keep only the overlapping part: a system requires both inequalities to be true.

You can already assume: Linear inequalities.

Try it now

Find values satisfying both conditions at the same time.

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

How to reason

Picture the two rays and keep only the overlapping part: a system requires both inequalities to be true.

Data / situation: x>-5 and x≤-2

Your competency map

What you need to know for Systems of inequalities

ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.

Current topic Strong skill Review due Needs reinforcement To be mastered Optional support

Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.

GUIDED LEARNING PATHS

Want to choose the next skill to develop?