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Abstract Algebra

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Closed Operations on R

ABSALG-JAXKNG

Identify which of the following binary operations are closed on $\mathbb{R}$. Note that the minimum binary operation outputs the minimum of two numbers.

For example, $\textrm{min}(-2, 3)=-2.$

Select ALL that apply.

A

Addition

B

Subtraction

C

Multiplication

D

Division

E

Minimum

F

None of the above operations are closed on $\mathbb{R}$.