As a facility manager, you must translate specific operational constraints into the building's tracking software. The software requires you to identify the correct graph behavior and interval notation for each rule. Match each operational inequality with its corresponding graph description and interval notation.

A carpentry specification requires a wood plank to have a thickness $t$ that is at least $\frac{3}{4}$ of an inch ($t \geq \frac{3}{4}$). Which interval notation correctly represents this thickness requirement?

A manufacturing technician is monitoring a machine's operating temperature $T$, which must be at least $\frac{3}{4}$ of a degree above the baseline ($T \geq \frac{3}{4}$). Arrange the following steps in the correct chronological order to graph this requirement and express it in interval notation.

A warehouse safety protocol requires that the internal pressure $p$ of a storage tank must be strictly greater than 2 bars ($p > 2$). To document this range in the facility's management system using interval notation, a technician should use the expression [2, infty).

Logistics Weight Variance Documentation

Manufacturing Tolerance Documentation

As a data analyst for a logistics company, you are updating the procedural manual for freezer temperature safety. A freezer's temperature $x$ must be maintained at or below -1.5 degrees Celsius ($x \leq -1.5$), which corresponds to shading the number line to the left. To indicate that the boundary value of -1.5 is explicitly included in the interval notation $(-\infty, -1.5]$, you must close the mathematical expression with a square ____.