Consider the inequality . To solve for , you first subtract 5 from both sides. The next step is to divide both sides by -2. The final inequality is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a linear inequality step-by-step and write the final solution, including the importance of reversing the inequality symbol when dividing by a negative number.
Key Concept Explanation
Solving inequalities involves similar steps to solving equations, but with special attention to the inequality symbol. When dividing or multiplying by a negative number, the inequality symbol must be reversed.
Step-by-step Solution
1. Start with the inequality: .
2. Subtract 5 from both sides:
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