How to Graph Inequalities on the Number Line Definition, Types, Examples & Uses

How to Graph Inequalities on the Number Line

Subject: Mathematics

Book: Maths Mastery

For one-variable inequalities like x>2, you shade all real values greater than 2 on a number line, using an open circle at 2 to indicate x cannot equal 2. If it were x≥2, you’d fill the circle at 2. This visual clarifies the solution set’s extent. Number-line graphing is fundamental for single-variable constraint representation, bridging arithmetic with geometry. In daily tasks like weight or budget limits, or advanced system constraints, understanding these representations ensures a quick, intuitive grasp of allowable solution ranges.