A boundary line for an inequality is x = 4. The solution region is on the side of the boundary line that includes the point and the line is solid. What is the inequality that represents this region? x _____ 4
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to identify and understand the solution region of a linear inequality based on the given boundary line and a test point.
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.
If the inequality contains ≦ or ≧, the boundary line is solid, indicating that points on the line are part of the solution set.
The test point is used to determine which side of the boundary line contains the solution region.
Step-by-step Solution
The boundary line is , which is a vertical line.
The line is solid, meaning the inequality includes the boundary line itself (we use or ).
The solution region includes the point
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