Decide Which of the 5 Properties of a Commutative Group

Decide which of the 5 properties of a commutative group (closure, identity, inverse, associative, commutative) hold for
the given system.
- $$\begin{array} { c | c c c c } ‡ & 4 & 9 & 14 & 19 \\ \hline 4 & 14 & 19 & 4 & 9 \\9 & 19 & 4 & 9 & 14 \\14 & 4 & 9 & 14 & 19 \\19 & 9 & 14 & 19 & 4\end{array}$$

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

Correct Answer:

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