2. \( 2 x-5 y<20 \)

To solve the inequality \( 2x - 5y < 20 \), begin by isolating \( y \). First, rearrange the inequality to get \( -5y < -2x + 20 \). Next, divide everything by -5, remembering that this reverses the inequality sign: \( y > \frac{2}{5}x - 4 \). This forms a line on a graph where points above this line satisfy the inequality. Visualizing this inequality on a graph can enhance understanding. The line \( y = \frac{2}{5}x - 4 \) is the boundary, and the area above it (not including the line) represents all the combinations of \( (x, y) \) that satisfy the inequality. It offers insight into feasible solutions in a practical context, like determining viable options in resource allocation or design in engineering fields.