Problem 7 of 7
Solve the absolute-value equation |x - 15| = 10.
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split into two cases.
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Equation must be in the form |x - a| = b with b > 0.
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Solution
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1. Interpret absolute value as distance from the center.
2. Write two equations: inside expression equals b and equals -b.
3. Solve both equations.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Only one solution unless b = 0, which is excluded here.