A temperature control system can vary exactly 3 degrees from 20°C. Write and solve an absolute value equation. The solutions are and .
Answer & Analysis
Analysis
Question Analysis
This question asks students to model a real-world scenario using an absolute value equation and find the two possible values that satisfy the condition "vary exactly 3 degrees from 20°C." The key components are recognizing the center point (20) and the allowed deviation (3).
Key Concept Explanation
The general form for such problems is , where is the target value and is the allowed distance from it. Solving yields and .
Step-by-step Solution
1. Translate the phrase "vary exactly 3 degrees from 20°C." into the equation .
2. Solve by splitting into two equations:
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