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Equivalent Inequalities
The expressions or can be read from left to right or right to left. In general, an inequality can be reversed as long as the symbol is flipped. Specifically, is equivalent to , and is equivalent to . For example, is equivalent to .
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Ch.1 Foundations - Intermediate Algebra @ OpenStax
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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 .
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A logistics supervisor is comparing the weights of two cargo shipments. If Shipment weighs less than Shipment , the relationship is written as . Which of the following is a mathematically equivalent way to describe this relationship starting with Shipment ?
A warehouse supervisor records that the quantity of Item 1 () is less than the quantity of Item 2 (), expressed as . Is the expression a mathematically equivalent way to represent this same relationship?
An operations manager is comparing various performance metrics between two departments. Match each inequality statement with its mathematically equivalent reversed form.
In a fleet management report, the fuel efficiency of Truck A () is recorded as being greater than the fuel efficiency of Truck B (), expressed as . To represent this same relationship starting with Truck B, the equivalent inequality is ____ .
Rewriting Budget Comparisons