To solve the inequality , after subtracting 9 from both sides, the resulting inequality is . Then, dividing both sides by -6 and reversing the inequality sign, the final solution is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a more complex inequality involving multiple steps, including subtraction, division, and the reversal of the inequality sign. The focus is on applying the correct sequence of operations.
Key Concept Explanation
Solving inequalities involves isolating the variable on one side. When you multiply or divide by a negative number, the direction of the inequality sign must be reversed.
Step-by-step Solution
1. Start with the given inequality:
2. Subtract 9 from both sides:
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