Describe and indicate by shading, on the usual axes, the set of points \(S_1\) defined by \((x-2)(y+3) \geq 0\).
What might the boundary of \(S_1\) look like? If we know the boundary of a region, trying a few examples can often help us to see which side of the boundary is the required region.
\(S_2\) is the set of points defined by \(x^2 + y^2 \leq 25\). Find the range of values of \(p\) if the point \((3, p) \in S_1 \cap S_2\).
Sketching the region \(S_2\) on the same axes may well help here.