The graph below shows the solution set of a system of linear inequalities. One of the inequalities is . Write the other inequality that, together with , forms the shaded region. _________.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to identify the second inequality in a system of linear inequalities based on the given graph and one known inequality.
Key Concept Explanation
The key concept is understanding how to determine the boundary lines and the regions they define.
Vertical/Horizontal Boundaries: Vertical lines have the form (constant x-value), and horizontal lines have the form (constant y-value). The shaded region’s position relative to these lines determines the inequality direction (e.g., if shaded right of ).
Step-by-step Solution
1. Identify the Second Boundary Line
The shaded region is bounded by two lines: the given
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.