Graphing inequalities on a number line is the process of representing inequalities as points on a line to visualize their solutions. For instance, the inequality x > 3 can be graphed by marking all points to the right of 3 on the number line. This graphical representation provides insights into the range of values that satisfy the inequality.
Graphing inequalities is crucial for solving mathematical problems involving comparisons and inequalities. Its benefits include enhanced understanding of inequalities, clear visualization of solutions, and efficient problem-solving. Historically, the concept of graphing inequalities emerged as a significant development in the field of mathematics.
