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Inequality Symbols
Inequality symbols describe the relative size of two quantities when they are not necessarily equal. The main symbols are:
- : not equal to
- : less than
- : less than or equal to
- : greater than
- : greater than or equal to
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OpenStax
Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
Algebra
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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 is located to the left of Dock 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 is located to the right of balance , then the inequality 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 is located to the right of the concentration of Sample on the scale, the mathematical relationship is written as Sample ____ Sample .
Learn After
In a logistics and safety environment, automated monitoring systems use mathematical symbols to define operational limits. Match each inequality symbol with its correct verbal description used in safety reports.
As a quality assurance technician for an automotive manufacturer, you are reviewing a technical manual that specifies the acceptable limits for a machined part's dimensions. The manual frequently uses the symbol to define the maximum allowable tolerance. What is the correct mathematical meaning of the symbol?
In a human resources software system, the eligibility for full-time benefits is determined by an employee's weekly hours, . If the system uses the condition , the symbol in this expression represents the 'less than or equal to' relationship.
Inequality Symbols in Data Validation
In an automated inventory management system, a 'discrepancy' flag is triggered whenever the physical count of an item is to the system's recorded quantity. In this professional context, the symbol represents the phrase '____'.