Consider the system of linear inequalities: . Refer to the graph below. Fill in the blanks with the correct inequality symbols.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to match a given system of linear inequalities with the correct inequality symbols based on the graph. The student must understand the relationship between the boundary lines and the shading.
Key Concept Explanation
The key concept is recognizing the type of boundary line (solid or dashed) and the shading on the graph to determine the correct inequality symbols. A solid line indicates "≤" or "≥", while a dashed line indicates "<" or ">".
Step-by-step Solution
1. Identify the boundary lines from the graph: and .
2. Determine the type of line for each boundary:
is a solid line and the shaded region is below the line, indicating .
is a dashed line the shaded region is above the line, indicating
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