y>-1/3x and y<-1/3x-2.
a the system has no solutions
b. the system has one solution
c. the system has infinite solutions
d. the system has two solutions
From the given inequalities:
y > -1/3x
and
y < -1/3x - 2
We can see that both inequalities have the same inequality sign (>) indicating that the solutions lie above the lines.
The slope of both lines is -1/3, which means they have the same slope.
The y-intercept of the first line is 0, and the y-intercept of the second line is -2.
Therefore, the lines are parallel and will never intersect. This means there are no solutions to the system.
Hence, the answer is: a. The system has no solutions.