In a precision machining shop, a part's allowable dimension error, $x$, must fall within a strict tolerance defined by the inequality $|x| < 1$. Recalling the translation rule for 'less than' absolute value inequalities, which interval notation represents all acceptable error values?

In a quality control department, a technician uses the inequality $|w| < 9$ to describe the allowable weight variance of a product. This inequality means that the variance $w$ is restricted to values strictly between ${}-9$ and ${}9$.

Documenting Laboratory Tolerance

In industrial quality control, technicians must be able to convert between different mathematical representations of tolerance limits. Match each descriptive term with its correct equivalent form for the standards $|x| < 9$ and $|x| < 1$.

A Quality Control Technician is training on how to report measurement deviations in a facility log. To document the tolerance defined by $|x| < 9$, the technician must follow a specific mathematical procedure to reach the final interval notation. Arrange the following steps in the correct order.