To analyze the system of inequalities given:
- \( y \geq -1 \)
- \( y < -2 \)
Let's interpret these inequalities:
-
The first inequality \( y \geq -1 \) represents all values of \( y \) that are greater than or equal to \(-1\). This forms a region that includes the line \( y = -1 \) and all points above it.
-
The second inequality \( y < -2 \) represents all values of \( y \) that are less than \(-2\). This forms a region below the line \( y = -2 \).
Now, let's visualize these regions on a graph:
- The area representing \( y \geq -1 \) is above the line \( y = -1\).
- The area representing \( y < -2 \) is below the line \( y = -2\).
These two regions do not overlap since any value of \( y \) that is greater than or equal to \(-1\) cannot also be less than \(-2\).
Therefore, there are no \( y \) values that satisfy both inequalities at the same time.
Based on this analysis, the correct description of the graphed system of inequalities is:
The system had no solutions.