Question

Describe and indicate by shading, on the usual axes, the set of points \(S_1\) defined by \((x-2)(y+3) \geq 0\). \(S_2\) is the set of points defined by \(x^2+ y^2 \leq 25\). Find the range of values of \(p\) if the point \((3, p) \in S_1 \cap S_2\).

[Editorial Note: Here by \((3, p) \in S_1 \cap S_2\), we mean that the point \((3,p)\) is contained in both \(S_1\) and \(S_2\).]