Step 1 :Rewrite the first inequality 2x + 5y > -15 in slope-intercept form. This gives us \(y > -\frac{2}{5}x - 3\).
Step 2 :Rewrite the second inequality -2x + 3y < 3 in slope-intercept form. This gives us \(y < \frac{2}{3}x + 1\).
Step 3 :Graph the first inequality \(y > -\frac{2}{5}x - 3\). Draw a line with a slope of -2/5 and a y-intercept of -3. Because the inequality is 'greater than', shade above the line.
Step 4 :Graph the second inequality \(y < \frac{2}{3}x + 1\). Draw a line with a slope of 2/3 and a y-intercept of 1. Because the inequality is 'less than', shade below the line.
Step 5 :The solution to the system of inequalities is the region where the shaded areas overlap.
Step 6 :Choose a point that lies in the overlapping shaded region to find a point in the solution set. For example, the point (0,0) is in the solution set because it lies in the region where the shaded areas overlap. \(\boxed{(0,0)}\) is a point in the solution set.