C1 Ex3E Q4: Constructing and Solving a Quadratic Inequality in k

① This example demonstrates how to formulate a quadratic inequality containing the parameter k from the problem statement and then solve and visualize it with GeoGebra. ② Core mathematical concepts: quadratic inequalities, determination of parameter ranges, and the geometric interpretation of solution sets. ③ Construction highlights: define parameters k and c in GeoGebra, use a Slider to vary k, and dynamically display the inequality’s solution region on a number line or coordinate plane. ④ Suitable for high‑school mathematics lessons on quadratic functions and inequalities, for classroom demonstration, student exploration, or exam review.