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

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- Sep 11th 2008, 01:48 AMfifthrapiersElementary Set Question
Is the set {0, 1, 2} closed under multiplication?

- Sep 11th 2008, 01:59 AMMoo
Hello,

$\displaystyle \text{Is } 0 \times 0 \text{ an element of the set ?}$

$\displaystyle \text{Is } 0 \times 1 \text{ an element of the set ?}$

$\displaystyle \text{Is } 0 \times 2 \text{ an element of the set ?}$

$\displaystyle \text{Is } 1 \times 1 \text{ an element of the set ?}$

$\displaystyle \text{Is } 1 \times 2 \text{ an element of the set ?}$

$\displaystyle \text{Is } 2 \times 2 \text{ an element of the set ?}$ - Sep 11th 2008, 02:05 AMfifthrapiers
Ok the answer is no then, since 2*2 is not.

- Sep 11th 2008, 02:05 AMMoo