1. ## Elementary Set Question

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

2. Hello,
Originally Posted by fifthrapiers
Is the set {0, 1, 2} closed under multiplication?
$\text{Is } 0 \times 0 \text{ an element of the set ?}$
$\text{Is } 0 \times 1 \text{ an element of the set ?}$
$\text{Is } 0 \times 2 \text{ an element of the set ?}$
$\text{Is } 1 \times 1 \text{ an element of the set ?}$
$\text{Is } 1 \times 2 \text{ an element of the set ?}$
$\text{Is } 2 \times 2 \text{ an element of the set ?}$

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

4. Originally Posted by fifthrapiers
Ok the answer is no then, since 2*2 is not.
Correct