4. Solving Absolute Value Equations
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When does an absolute value equation have no solution?
See solution.
What we need to do is take a closer look at the given absolute value equation. |2x-1|=- 9 We see that the absolute value expression is isolated on one side, and it is set equal to a negative number, - 9. Since absolute value represents a distance, it can never be negative. In other words, there are no values for x that will make the given equation true. It has no solutions.