Consider the inequality . The boundary line for this inequality is a ________ line, and the solution region is all points that lie ______ the boundary line.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to identify the type of boundary line and the solution region for a given linear inequality.
Key Concept Explanation
The boundary line for a linear inequality is determined by the inequality sign. If the inequality contains < or >, the boundary line is dashed, indicating that points on the line are not part of the solution set.
And the key concept here is also the use of a test point to determine which side of the boundary line is the solution region. If the test point satisfies the inequality, the side containing the test point is the solution region.
Step-by-step Solution
1. Identify the boundary line:
2. Determine the type of boundary line: Dashed (since the inequality is >)
3. Choose a test point, such as
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