A boundary line for an inequality is a dashed line. The solution region is on the side of the boundary line that does not include the point (0, 0). What is the inequality that represents this region? ____________.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to identify the correct inequality based on the given boundary line and a test point.
Key Concept Explanation
For a linear inequality with a boundary line :
A dashed line means the inequality is either or (no equality included).
To determine which one, we test a point. If the point satisfies the inequality, that side of the line is the solution for that inequality; if not, the other side is.
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
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.