Consider the linear inequality 5x - 3y _______ 15. The boundary line for this inequality is dashed, and the test point (0, 0) does not satisfy the inequality. Write the inequality in standard form.
Answer & Analysis
Analysis
Question Analysis
This question assesses 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 (dashed), and the result of the test point.
Key Concept Explanation
A dashed boundary line indicates that the points on the line are not included in the solution set. The test point (0, 0) not 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: Dashed line (points on the line are not included, so the inequality sign is either < or >)
3. Test the point (0, 0): Substitute into the inequality
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