A boundary line y = 3x - 2 for an inequality is a solid line. The solution region is on the side of the boundary line that includes the point (0, 0). What is the inequality that represents this region? y _______ 3x - 2.
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
For a linear inequality with a boundary line :If the boundary line is solid, the inequality includes equality ( or ).
To determine which inequality sign to use, we can test a point in the solution region by substituting its coordinates into the equation of the boundary line.
Step-by-step Solution
1. Substitute the test point into the boundary line equation
We have the boundary line and the test point . Substitute and
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