Question

For witch operation is the set {0,1} closed?
Choose ALL answers that are correct.
I will fan and medal! please help!

Answer 1

Do you know what closed under an operation means?

Answer 2

nope

Answer 3

Closed means if you take any two elements from that and add them you will not get something out that set as an output

Answer 4

For example what you took the element 1 from that set
what is 1+1?

Answer 5

2 lol

Answer 6

Is 2 an element in the set {0,1}?

Answer 7

no?

Answer 8

Right only 0 and 1 are elements of the set {0,1}
2 isn't an element of the set {0,1}
Which means since we tried to add that the set {0,1} is not closed under addition

Answer 9

Try multiplication

Answer 10

Is the set {0,1} closed under multiplication

Answer 11

Try all combinations...
0*0=?
0*1=?
1*0=?
1*1=?

Answer 12

0
0
0
1

Answer 13

aren't all of those outputs elements of the set {0,1}?

Answer 14

yea

Answer 15

so it the set {0,1} closed under multiplication?

Answer 16

yes

Answer 17

yep yep

Answer 18

Do you want to try any other operations?

Answer 19

yeah sense it is u know all answers that are correct lmao

Answer 20

Ok well you know what closed means so try other operations

Answer 21

by the way you can define new operations but i don't think your teacher is asking you to do that

Answer 22

i think you are to try the operations, +,-,x,/