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Question
y ≤ (1/3)x - 1
y ≤ (1/3)x - 3
all values that satisfy y ≤ (1/3)x - 1 are solutions
all values that satisfy y ≤ (1/3)x - 3 are solutions.
all values that satisfy either y ≤ (1/3)x - 1 or y ≤ (1/3)x - 3 are solutions.
there are no solutions.
The solution to a system of inequalities with "and" is the overlapping shaded region. The region that satisfies both $y \leq \frac{1}{3}x - 1$ and $y \leq \frac{1}{3}x - 3$ is the area that only satisfies $y \leq \frac{1}{3}x - 3$, since this line is below the other and the inequalities are "less than or equal to".
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All values that satisfy $y \leq \frac{1}{3}x - 3$ are solutions.