The solution to a system of inequalities is at the point of intersection of the inequalities
The true statement is (a) there is no solution
The inequalities are given as:
[tex]\mathbf{y > -\frac 13x + 5}[/tex]
[tex]\mathbf{y < -\frac 13x - 1}[/tex]
From the given graph, we can see that the lines of the inequalities do not intersect at any point.
This is because both lines are parallel, and they have the same slope.
Since the lines do not intersect, then the system of inequalities do not have a solution.
Hence, the true statement is (a) there is no solution
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