Review question

# Can we illustrate this pair of inequalities on a graph? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7320

## Suggestion

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.