4. Solving Absolute Value Equations
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The solutions of the absolute value equations can sometimes be extraneous.
Error: Solutions not checked.
Correct Solution: No solutions.
Looking at the provided work, no errors have been committed. The absolute value equation was written as two equations correctly, and inverse operations were applied correctly. However, the solutions were not checked. When solving absolute value equations, we have to check if the solutions are not extraneous.
x= - 2
a(- b)=- a * b
Multiply
Add terms
|-2|=2
x= -4/3
a(- b)=- a * b
a*b/c= a* b/c
Write as a fraction
Add terms
|-4/3|=4/3