The graph below shows the solution set of a system of linear inequalities. One of the inequalities is . Write the other inequality that, together with , forms the shaded region. ________.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to identify the second inequality in a system of linear inequalities based on the given graph and one known inequality.
Key Concept Explanation
The key concept is understanding how to determine the boundary lines and the regions they define. The student must recognize the slope and intercepts of the lines and observe the graph to confirm the correct region.
Step-by-step Solution
1. Identify the boundary line for the given inequality .
2. Determine the boundary line for the other inequality by observing the graph.
y-intercept: The line intersects the y-axis at (0, 3), so the intercept .
Slope: The line passes through points (0, 3) and (3, 0) (for example), so the slope
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