QuestionSketch the graph of the solution set of the system of inequalities. $$\left\{\begin{array}{l} x-y^{2}>0 \\ x-2 y>3 \end{array}\right.$$

Studdy Solution
Sketch the solution set.
1. Draw the parabola $x = y^2$ on the coordinate plane. It opens to the right.
2. Draw the line $x = 2y + 3$ on the same plane.
3. Shade the region to the right of the parabola.
4. Shade the region above the line.
5. The overlapping shaded region is the solution set.
The graph of the solution set is the region where the shaded areas overlap, representing all points $(x, y)$ that satisfy both inequalities.