Question

which graph shows the correct solution to the linear - quadratic system of inequalities below? \\(\

$$\begin{cases}y < 0.5x^{2}+1\\\\5x - 2y\\geq - 10\\end{cases}$$

\\)

Explanation:

Answer:

The graph with the parabola \(y = 0.5x^{2}+1\) as a dashed curve (since \(y<0.5x^{2}+1\)) and the line \(5x - 2y=- 10\) (or \(y=\frac{5}{2}x + 5\)) as a solid line (since \(5x-2y\geq - 10\)) and the overlapping shaded region that is below the parabola and below (or on) the line.