For the system of inequalities: . Identify the boundary lines and determine whether they are solid or dashed. The boundary line is ________, the boundary line is ________, and the boundary line is ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the boundary lines and their representation in a system of linear inequalities. The key is to recognize the boundary lines for each inequality and determine whether they are solid or dashed based on the inequality signs.
Key Concept Explanation
The boundary line of a linear inequality is the line that divides the coordinate plane into two regions.
If the inequality includes an equal sign (≤ or ≥), the boundary line is solid, indicating that points on the line are part of the solution set.
If the inequality does not include an equal sign (< or >), the boundary line is dashed, indicating that points on the line are not part of the solution set.
Step-by-step Solution
1. Identify the boundary lines from the given system of inequalities: , , and .
2. Determine the type of boundary line for each inequality:
For
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.