Final answer:
For two parallel linear inequalities, it is not possible to have a single point of solution; the solutions could be infinite or none depending on the direction of the inequalities.
Step-by-step explanation:
When a system of two linear inequalities in two variables has boundary lines that are parallel, it is not possible to have a single point of solution. If the lines are parallel, they either never intersect (which means there could be no solution or possibly an infinite number of solutions if the inequalities represent the same area), or they could represent the same line, in which case the overlap would be a line, not a single point. Therefore, the correct answer is B) There is a single point of solution.