PLEASE HELP WILL MEDEL AND FAN
Which set is closed under multiplication?

A.
{0, 1, 2}

B.
{1, 2, 3}

C.
None of the sets are closed under multiplication.

D.
{1, 2}

Question

PLEASE HELP WILL MEDEL AND FAN
Which set is closed under multiplication?
 
 A.
{0, 1, 2}
 
 B.
{1, 2, 3}
 
 C.
None of the sets are closed under multiplication.
 
 D.
{1, 2}

amistre64 · Answer

what does it mean for a set to e closed under an operation?

albert0898 · Answer

Closed under multiplication means that any member of the set times any other member of the set (including itself) yields another member of the set. 

A: 0 * 0 = 0 , 0 * 1 = 0, 1 * 1 = 1, 2 * 2 = 4, 2 * 1 = 2 NOPE

B: Now apply the same concept to the other sets, if you find on combination that yields something outside the set, then it is no closed. 

C:

D: Now apply the same concept to the other sets, if you find on combination that yields something outside the set, then it is no closed.

albert0898 · Answer

C is the right answer.

amistre64 · Answer

since this site is not an answering service, please tutor and involve the asker in the solution process as opposed to simply doing all the work/thinking for them.

albert0898 · Answer

@worker Basically, when multiplying the terms together and with itself, you can't get a result outside of the given set.

@amistre64 I apologize. I did provide insight though

amistre64 · Answer

you did yes :)  i like that you are capable of giving a cogent answer.