Try It: Solving $|x| = 2$, $|y| = -4$, and $|z| = 0$

Try It: Solving $|x| = 11$, $|y| = -5$, and $|z| = 0$

In your role as a logistics coordinator, you use absolute value equations to track delivery time deviations from a scheduled target. Recalling the fundamental properties of basic absolute value equations, which of the following statements correctly describes the possible solutions for these types of equations?

In your role as a facilities coordinator, you monitor temperature deviations in a climate-controlled warehouse. The deviation $x$ from the target temperature is represented by absolute value equations. Match each equation with the correct description of its solution set based on algebraic properties.

In a manufacturing quality check, if the deviation $x$ of a component is modeled by the equation $|x| = -0.05$, there are two possible values for $x$ that satisfy this condition.

Identifying Possible Variances in Quality Control

In your role as a quality control inspector at a bottling plant, you are using the equation $|x| = 0.03$ to monitor the fill-level deviation in ounces. Arrange the following steps in the correct order to solve this equation for all possible deviations $x$.

At an electronics manufacturing plant, a quality assurance technician uses the absolute value equation $|v| = c$ to track voltage deviations. If the measurement constraint constant $c$ is set to a negative value, the technician can quickly recall that the number of possible solutions to this equation is ____.

Evaluating Deviation Tracking Equations