Consider the linear inequality 4x - 5y > 10. Determine the correct inequality sign to use for the boundary line. The boundary line is given by the equation y = _______.
Answer & Analysis
Analysis
Question Analysis
This question involves converting a linear inequality into its corresponding boundary line equation by rewriting it in slope-intercept form ().
Key Concept Explanation
The boundary line for a linear inequality is the line obtained by replacing the inequality sign with an equality sign. The type of boundary line (solid or dashed) depends on the original inequality sign.
Step-by-step Solution
Start with the inequality and replace the inequality sign with an equality to find the boundary line equation:.
Isolate y by first subtracting 4x from both sides:
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