By Elimu Assistant Team 
Introduction to Linear Inequalities on Graphs
Linear inequalities are a fundamental concept in algebra that extends the principles of linear equations to include inequalities. Unlike linear equations, which represent a single line on a graph, linear inequalities represent a region of the coordinate plane. This region includes all the points that satisfy the inequality.
When graphing a linear inequality, the boundary line is drawn first. This line is dashed if the inequality is strict (e.g., ( y > 2x + 1 ) or ( y < -3x + 4 )) and solid if the inequality is inclusive (e.g., ( y geq 2x + 1 ) or ( y leq -3x + 4 )). The area on one side of the boundary line is then shaded to indicate all the solutions to the inequality.
Understanding how to graph linear inequalities is crucial for solving systems of inequalities, optimizing functions, and modelling real-world scenarios. This practice will help you become proficient in identifying and graphing the solution sets of linear inequalities, enhancing your problem-solving skills and mathematical intuition.
Download Linear Inequality Questions on Graphs
