Solving quadratic inequalities on a graphing calculator involves finding the values of the variable that make the inequality true. A quadratic inequality is an inequality that can be written in the form ax^2 + bx + c > 0, ax^2 + bx + c < 0, ax^2 + bx + c 0, or ax^2 + bx + c 0, where a, b, and c are real numbers and a 0.
Graphing calculators can be used to solve quadratic inequalities by graphing the quadratic function y = ax^2 + bx + c and then determining the values of the variable for which the graph is above or below the x-axis (depending on the inequality). For example, to solve the inequality x^2 – 4x + 3 > 0 on a graphing calculator, you would first enter the function y = x^2 – 4x + 3 into the calculator. Then, you would graph the function and determine the values of x for which the graph is above the x-axis. In this case, the graph is above the x-axis for x < 1 or x > 3, so the solution to the inequality is x < 1 or x > 3.
