Consider the linear inequality 2x + 7y ______ 14. The boundary line for this inequality is solid, and the test point (0, 0) satisfies the inequality. Write the inequality in standard form.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to determine the correct inequality sign based on the given conditions. The key information provided includes the equation of the boundary line, the type of boundary line (solid), and the result of the test point.
Key Concept Explanation
A solid boundary line indicates that the points on the line are included in the solution set. The test point (0, 0) satisfying the inequality helps to determine the correct inequality sign.
Step-by-step Solution
1. Identify the boundary line:
2. Determine the type of boundary line: Solid line (points on the line are included, so the inequality sign is either ≤ or ≥)
3. Test the point (0, 0): Substitute into the inequality
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.