Ongelijkheden grafisch oplossen

Solving inequalities graphically involves selecting x-values, calculating corresponding y-values using the function, and plotting the graph.

This graph shows the region highlighting the x-values that satisfy the inequality. On the same grid, plot another inequality function and shade the side of the boundary line where the inequality holds true.

The x-values in the overlapping region represent the solution of the inequality.

For a quadratic function, the shaded part of the graph shows the solution when the inequality is greater than or equal to. Similarly, when the inequality is less than or equal to, the solution corresponds to the unshaded region of the graph.

When a quadratic inequality is compared with a linear function, both graphs are plotted on the same coordinate plane. The graphs intersect at the points. These x-values mark the boundaries of the solution set, showing where the parabola lies above or on the line.

The graphical method of solving inequalities is useful in fields like finance, where monthly expenses can be compared with the budget. The shaded region shows that expenses remain below the budget line.