Is the set {0, 1, 2} closed under multiplication?
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Is the set {0, 1, 2} closed under multiplication?
Hello,
$\displaystyle \text{Is } 0 \times 0 \text{ an element of the set ?}$
$\displaystyle \text{Is } 0 \times 1 \text{ an element of the set ?}$
$\displaystyle \text{Is } 0 \times 2 \text{ an element of the set ?}$
$\displaystyle \text{Is } 1 \times 1 \text{ an element of the set ?}$
$\displaystyle \text{Is } 1 \times 2 \text{ an element of the set ?}$
$\displaystyle \text{Is } 2 \times 2 \text{ an element of the set ?}$
Ok the answer is no then, since 2*2 is not.