Equivalent Inequalities

Inequality Symbols

Graphing the Solution Set of a Linear Inequality on a Number Line

A logistics supervisor is mapping out shipping docks along a straight terminal wall, which functions like a horizontal number line. If Dock $a$ is located to the left of Dock $b$ on the terminal map, which inequality correctly represents the relationship between the two dock positions?

On a horizontal number line used to track company account balances, if balance $A$ is located to the right of balance $B$, then the inequality $A > B$ is a true representation of their relationship.

A safety technician monitors a horizontal pressure gauge in a manufacturing plant. Match each mathematical symbol or directional movement with its corresponding spatial description on the gauge based on how values are represented on a horizontal scale.

Horizontal Inventory Mapping

In a laboratory setting, a technician uses a horizontal scale to compare the concentrations of two chemical samples. If the concentration of Sample $A$ is located to the right of the concentration of Sample $B$ on the scale, the mathematical relationship is written as Sample $A$ ____ Sample $B$.

Drafting an SOP for a Calibration Scale

You are designing an interactive horizontal dashboard to display three company performance metrics: $x$, $y$, and $z$. Given the established inequalities $x < y$ and $z > y$, recall the spatial rules of a standard number line to arrange these metrics in the exact order they must appear from furthest left to furthest right.