Determine Which Properties the Given Mathematical System Exhibits $\begin{array}{c|ccc}\Omega & 7 & 9 & 3 \\\hline 7 & 9 & 3 & 7 \\9 & 3 & 7 & 9 \\3 & 7 & 9 & 3\end{array}$

question 17

Multiple Choice

Determine which properties the given mathematical system exhibits. Identify any systems that are groups or Abelian groups.
$\begin{array}{c|ccc}\Omega & 7 & 9 & 3 \\\hline 7 & 9 & 3 & 7 \\9 & 3 & 7 & 9 \\3 & 7 & 9 & 3\end{array}$

• A) closure, commutative, identity
• B) closure, commutative, identity, inverse, associative; Abelian group
• C) closure, commutative
• D) closure, commutative, identity, inverse

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Definitions:

Isotope

Variants of a particular chemical element which differ in neutron number, and consequently in nucleon number, but have the same number of protons.

Isotope

Forms of a specific chemical element distinguished by having identical proton counts yet varying quantities of neutrons within their cores.

Neutrons

Subatomic particles found in the nucleus of an atom with no electric charge.