A technician is documenting safety protocols where a pressure gauge reading (x) must remain less than 5 units (x < 5). According to standard algebraic graphing conventions, how should this inequality be represented on a number line?

A site supervisor is training new employees on how to interpret safety and financial thresholds using number line graphs. Match each inequality threshold to its correct graphing convention on a number line.

A supervisor is graphing the inequality $x < 5$ on a number line to represent a maximum overtime limit of 5 hours. To correctly show that the value 5 is excluded from the solution set, the supervisor should use a bracket at 5.

Graphing Pressure Thresholds

A site supervisor is training a new employee on how to visualize safety thresholds. The supervisor needs to graph the inequality $x \leq 1$ (representing a specific pressure limit) on a number line. Arrange the following steps in the correct order to complete the graph according to standard algebraic conventions.

Visualizing Minimum Voltage Thresholds

A warehouse supervisor is graphing the inequality $x \leq 1$ on a number line to visualize a specific inventory threshold. To indicate that the boundary value of $1$ is included in the solution set, the supervisor should place a(n) ________ at the number 1.

Visualizing Operational Limits on Number Lines

A maintenance worker is tracking a building's foundation settlement, which must remain at a level ($x$) strictly greater than $-1$ inch relative to the safety baseline ($x > -1$). To correctly graph this condition on a number line for a safety report, which combination of features must the worker use?

A site supervisor is training a new employee on how to graph operational thresholds using number lines. According to the standard conventions for graphing inequalities like $x \leq 1$, $x < 5$, and $x > -1$, what are the two fundamental decisions that must be made to correctly represent the solution set?