Which set is closed under the operation multiplication?

A.

{1, 2, 3}

B.

{0, 1}

C.

{0, 1, 2}

D.

{1, 2}

Question

Rodney Mason

Mathematics

21 June, 23:08

Which set is closed under the operation multiplication?

A.

{1, 2, 3}

B.

{0, 1}

C.

{0, 1, 2}

D.

{1, 2}

+4

Answers (1)

Know the Answer?

Giovanna Faulkner · 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.

Which set is closed under the operation multiplication?A.{1, 2, 3}B.{0, 1}C.{0, 1, 2}D.{1, 2}

Which set is closed under the operation multiplication?

A.

{1, 2, 3}

B.

{0, 1}

C.

{0, 1, 2}

D.

{1, 2}