A technician is monitoring a voltage level $x$ that must satisfy the condition $|x| = 5$. Based on the geometric definition of absolute value as the distance from zero on a number line, which values for $x$ satisfy this condition?

In a technical workshop, a sensor's offset $x$ must satisfy the equation $|x| = 5$. Match each mathematical term with its correct role or description in solving this problem.

A quality control inspector is checking the thickness deviation $x$ of a metal sheet relative to a standard baseline of ${}0$ millimeters. The deviation must satisfy the equation $|x| = 5$. Based on the geometric definition that this equation represents all points at a distance of ${}5$ units from zero, the two possible values for $x$ are ${}5$ and ____.

A technician is calibrating a sensor and needs to solve the equation $|x| = 5$ to determine the allowable deviation from a center point of 0. Arrange the following steps in the correct logical order to solve this equation based on the geometric definition of absolute value.

A quality control technician is monitoring a machine's calibration deviation $x$ modeled by the absolute value equation $|x| = 5$. True or False: According to the geometric definition of absolute value, because distance on a number line can never be a negative value, $x = 5$ is the only valid solution to this equation, and $x = -5$ is an invalid solution.

Understanding Absolute Value Calibration Equations