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

Question

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

Quizplus · Accepted Answer

The system has closure, identity, and inverse properties. It is also associative, but not commutative.

Decide Which of the 5 Properties of a Commutative Group