Decide Which of the 5 Properties of a Commutative Group

question 132

Multiple Choice

Decide which of the 5 properties of a commutative group (closure, identity, inverse, associative, commutative) hold for
the given system.
- $$\begin{array} { c | c c c c } / & 5 & 11 & 16 & 8 \\\hline 5 & 11 & 16 & 8 & 5 \\11 & 16 & 8 & 5 & 11 \\16 & 8 & 5 & 11 & 16 \\8 & 5 & 11 & 16 & 8\end{array}$$

• A) Closure, identity, associative, and commutative only
• B) All of them
• C) Closure, identity, inverse, and commutative only
• D) Closure, identity, inverse, and associative only

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Definitions:

Hydromechanical Transmission

A type of transmission that combines hydraulic fluid power with mechanical gears to transmit power and adjust vehicle speed without manual gear changes.

Valve

A device that regulates, directs or controls the flow of a fluid by opening, closing, or partially obstructing various passageways.

Automatic Functions

Features or operations within a device, system, or vehicle that operate without manual intervention, often based on specific conditions or triggers.

Main Pressure

The primary pressure within a system, such as the oil pressure in an engine or the hydraulic fluid pressure in machinery, vital for proper operation.