Quadratic Inequality 10C357

1. **State the problem:** We need to understand and graph the inequality $$y < 2x^2 - 18$$. 2. **Identify the type of inequality:** This is a quadratic inequality where the right side is a parabola opening upwards because the coefficient of $$x^2$$ is positive ($$2$$). 3. **Graph the boundary:** The boundary is the parabola $$y = 2x^2 - 18$$. Since the inequality is strict ($$<$), the boundary line will be dashed. 4. **Determine the region:** The inequality $$y < 2x^2 - 18$$ means the solution set is all points below the parabola. 5. **Summary:** The graph is a dashed parabola $$y = 2x^2 - 18$$ with the region below it shaded, representing all points where $$y$$ is less than $$2x^2 - 18$$. This completes the explanation and graphing instructions for the inequality.