## Precalculus (10th Edition)

We are given the system of inequalities: $\begin{cases} x^2+y^2\leq 100\\ 4x-3y\geq 0 \end{cases}$ Graph the circle $x^2+y^2=100$. Take a random point (for example, $(-2,0)$) and shade the area that fits the inequality. Graph the line $4x-3y=0$. Take a random point (for example, $(2,0)$) and shade the area that fits the inequality. Shade the intersection of the two areas: