Linear Inequality Grapher

Visualize linear inequalities and understand their solutions graphically. Just enter your inequality and explore!

Enter Linear Inequality (e.g., y > 2x - 1):

Enter an inequality in the form of y > expression, y < expression, y ≥ expression, or y ≤ expression.

Graph Visualization

Understanding Linear Inequalities

Linear inequalities are mathematical expressions that compare two linear expressions using inequality symbols (<, >, ≤, ≥). Graphing them helps visualize all possible solutions on a coordinate plane. The boundary line (formed by replacing the inequality with an equals sign) separates the plane, and the shaded region indicates the area where the inequality holds true. A dashed line is used for strict inequalities (<, >) and a solid line for inclusive ones (≤, ≥). This tool quickly plots these graphs, aiding in understanding algebraic concepts and their visual representations.

Boundary Line: Represents the equation form of the inequality.
Shaded Region: Shows all points that satisfy the inequality.
Applications: Useful in optimization, economics, and visualizing solution sets in algebra.