In Fig. 1 (not drawn to scale) the curve has equation \(x^2+4y^2=16\). The straight line has a gradient of \(-2\) and passes through the intersection of the curve with the positive \(y\)-axis.

Write down the three inequalities which are sufficient to define the shaded area (including the three lines bounding it).

Graph of the ellipse described with a straight line with a negative gradient passing through it. The first intersection of the line and the ellipse occurs where the ellipse crosses the positive y-axis.
Fig. 1