Elementary Set Question

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September 11th 2008, 02:48 AM
fifthrapiers

Elementary Set Question

Is the set {0, 1, 2} closed under multiplication?
September 11th 2008, 02:59 AM
Moo

Hello,

Quote:

Originally Posted by fifthrapiers

Is the set {0, 1, 2} closed under multiplication?

$\text{Is } 0 \times 0 \text{ an element of the set ?}$
$\text{Is } 0 \times 1 \text{ an element of the set ?}$
$\text{Is } 0 \times 2 \text{ an element of the set ?}$
$\text{Is } 1 \times 1 \text{ an element of the set ?}$
$\text{Is } 1 \times 2 \text{ an element of the set ?}$
$\text{Is } 2 \times 2 \text{ an element of the set ?}$
September 11th 2008, 03:05 AM
fifthrapiers

Ok the answer is no then, since 2*2 is not.
September 11th 2008, 03:05 AM
Moo

Quote:

Originally Posted by fifthrapiers

Ok the answer is no then, since 2*2 is not.

Correct :)

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