Consider the system of inequalities: and . The point (2, 3) lies in the solution region. What is the value of when for the second inequality? ________.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to solve for a specific value of in an inequality.
Key Concept Explanation
The solution to a system of inequalities is the set of all points that satisfy all the inequalities simultaneously. To find the value of when for a given inequality, substitute into the inequality and solve for .
Step-by-step Solution
1. Substitute into the second inequality:
2. Solve for :
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