A quality assurance (QA) technician is checking the measurement $x$ of a precision component. The component meets technical specifications if $x$ satisfies the inequality $|5x - 6| \leq 4$. According to the procedure for solving absolute value inequalities, which of the following is the correct compound inequality used as the first step in the translation process?

In a precision manufacturing facility, a technician is verifying if a component meets safety standards using the error tolerance inequality $|5x - 6| \leq 4$. To determine the acceptable range for $x$, the technician must follow a standard algebraic procedure. Arrange the following steps in the correct order as they would be performed to solve the inequality and represent the solution set.

A quality assurance (QA) technician is verifying a component's measurement $x$ against the tolerance constraint $|5x - 6| \leq 4$. To complete the technical documentation, the technician must match each stage of the solution process with its correct mathematical representation.

Documenting Tolerance Intervals in Manufacturing

A manufacturing engineer is configuring calibration software for a CNC machine. The technical tolerance for a component's dimension $x$ is defined by the absolute value inequality $|5x - 6| \leq 4$. After solving the inequality, the engineer documents the final acceptable solution set in the system using the interval notation $(\frac{2}{5}, 2)$.

A quality assurance trainee is studying the standard operating procedure for solving the measurement tolerance inequality $|5x - 6| \leq 4$. After successfully translating it into the compound inequality $-4 \leq 5x - 6 \leq 4$, the trainee recalls from the manual that the next algebraic step is to add ____ to all three parts of the inequality.

Standard Procedures for Quality Control Tolerance Calculations