Solve the absolute value equation . The solutions are and .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a basic absolute value equation. The key is to set up two separate equations based on the definition of absolute value.
Key Concept Explanation
The absolute value of a number is its distance from zero on the number line, always non-negative. To solve an absolute value equation, isolate the absolute value expression and set up two separate equations: one with the positive value and one with the negative value.
Step-by-step Solution
1. Set up two equations: and
2. Solve each equation:
For
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