Final answer:
The graph of option (b) (7x + y ≤ 3) will have a dashed boundary line.
Step-by-step explanation:
The graph of option (b) (7x + y ≤ 3) will have a dashed boundary line.
When we have an inequality in the form of ax + by ≤ c or ax + by ≥ c, the boundary line is dashed if the inequality is less than or equal to or greater than or equal to.
In option (b), we have 7x + y ≤ 3 which represents a line with a negative slope, indicating a decreasing magnitude of values as we move along the x-axis. Since the inequality is less than or equal to, the boundary line is dashed.