Decide Which of the 5 Properties of a Commutative Group

question 133

Multiple Choice

Decide which of the 5 properties of a commutative group (closure, identity, inverse, associative, commutative) hold for
the given system.
- $$\begin{array} { c | c c c c } ?? & 2 & 8 & 11 & 16 \\ \hline 2 & 8 & 11 & 16 & 2 \\8 & 11 & 16 & 2 & 8 \\11 & 16 & 2 & 8 & 11 \\16 & 2 & 16 & 11 & 8\end{array}$$

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

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Definitions:

Dopaminergic Effect

An effect or action related to dopamine, a neurotransmitter involved in reward, motivation, memory, attention, and even regulating body movements.

Muscle Movement

The action or process of moving parts of the body by contraction and relaxation of muscles, crucial for all forms of physical activity and coordination.

Arise Slowly

The recommendation or act of standing up gradually to prevent dizziness or falls, often applicable to individuals with blood pressure issues.

GABA

Gamma-aminobutyric acid (GABA) is the primary inhibitory neurotransmitter in the brain, playing a crucial role in regulating neuronal excitability and involved in anxiety reduction and sleep regulation.