As a quality assurance technician, you use absolute value equations to recall how to handle measurement tolerances and deviations. Match each absolute value equation, representing a potential deviation scenario, to its correct solution set.

A quality assurance technician at a manufacturing plant uses absolute value equations to monitor the deviation of mechanical parts from their target dimensions. During an inspection, the technician is given three equations to solve: $|x| = 11$, $|y| = -5$, and $|z| = 0$. Which of these equations represents a scenario where there is no possible solution for the deviation?

A shipping coordinator uses the equation $|x| = 11$ to model the allowable weight variance, in pounds, for a specific freight container. If one valid solution for the variance $x$ is 11, the other possible numerical value that satisfies this equation is ____.

A systems administrator is reviewing error logs containing absolute value equations that represent system deviations. Arrange the following equations in order based on the number of solutions they possess, starting with the equation that has the fewest solutions at the top and ending with the one that has the most solutions at the bottom.

A quality control technician at a manufacturing plant is evaluating a part's deviation from its target size using the equation $|y| = -5$. True or False: This equation has no valid numerical solutions for the deviation $y$.

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