Final answer:
The equation 7x - 2y ≤ 5 represents a linear inequality. The graph of a linear inequality is a shaded region on a coordinate plane. In this case, the shaded region is a half-plane, indicating one solution.
Step-by-step explanation:
The equation 7x - 2y ≤ 5 represents a linear inequality. To determine the number of solutions, we need to examine its graph. The graph of a linear inequality is a shaded region on a coordinate plane.
If the shaded region is a line, it indicates infinite solutions.
If the shaded region is a half-plane, it indicates either one solution or no solution. In this case, since there is an inequality symbol (≤) and not an equality symbol, the shaded region is a half-plane. Therefore, the correct answer is c) One solution.