Question

Which set is closed under the operation multiplication?

A.
{1, 2, 3}

B.
{0, 1}

C.
{0, 1, 2}

D.
{1, 2}

Answer 1

I have another set of choices here:

A. {0.5, 1, 2}


B. {1, 2, 4}


C. {1, 2, 3, 4, 5}


D. {0}

If you multiply two numbers from a closed set the answer is in the set.
So A is not closed because 2 x 2 = 4 which isn't in the set. Only 0.5, 1, and 2 are in set A.

Try multiplying the largest numbers in sets B, C, and D by themselves. You will soon discover the closed set.