Decide Which of the 5 Properties of a Commutative Group

question 38

Multiple Choice

Decide which of the 5 properties of a commutative group (closure, identity, inverse, associative, commutative) hold for
the given system.
- $$\begin{array} { l | l l l } ? & \wedge & £ & \Phi \\\hline \wedge & \wedge & £ & \Phi \\£ & £ & \wedge & \Phi \\\Phi & \Phi & £ & \wedge\end{array}$$

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

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Definitions:

Black Spruce

A species of tree in the pine family, native to northern parts of North America, characterized by its dark, dense foliage and adaptation to cold climates.

White Spruce

A species of spruce native to the northern temperate and boreal forests in North America, known for its use in construction and as Christmas trees.

Tamarack Trees

Deciduous conifers known for their ability to grow in cold, swampy conditions, distinct for shedding their needles in the winter.

Tropical Rain Forests

Densely forested regions located near the equator, characterized by high biodiversity, significant rainfall, and a warm climate year-round.