Question

Create a set of numbers and call the set N. Describe a subset of N and explain why it is a subset of N.

Answer 1

what part of this confuses you?
can you first select any set of numbers?
just pick one randomly

Answer 2

how about the set of integers? what numbers does that set have?

Answer 3

actually i have to make the sets

Answer 4

Ok, since it can be a finite set just pick some numbers

seriously, just pick any number of numbers (at least one number)
in brackets {}
that's a set

write one out and we will take it from there

Answer 5

( 1,2,3,4,7,8) is that good

Answer 6

perfect, except the symbol for sets are usually brackets
so you choose the set
N={1,2,3,4,5,7,8}
now select any number of numbers from within that set, and write it as a new set
you can take as many or few numbers as you want from N to make your new set

Answer 7

{2,4,6,7,9} thats all

Answer 8

I don't think that's quite right
the definition of a subset is that every element in that set is also an element of the larger set
is that the case for all the numbers you chose?

Answer 9

is 2 in N ?
is 4 in N ?
is 6 in N ?
is 7 in N ?
is 9 in N ?

if the answer to all these questions is "yes" than it is a subset of N
if the answer to one or more of these questions is "no" then it is not a subset

Answer 10

{1,2,3,4,5,7,8,9,10,11} like this

Answer 11

that is also not a subset of N because it contains numbers that are not in N

Answer 12

you chose
N={1,2,3,4,5,7,8}
in choosing a subset of N you cannot add any new numbers, you can only choose from numbers that are already in N

Answer 13

can u give me an example

Answer 14

if I did that with numbers that would be doing your work for you, so I will do it with a set of letters

Answer 15

cool

Answer 16

if we were allowed to use letters (which the question says we cannot) we could have
N={a,b,c,d,e}
subsets of this could be
{a,b,c}
{b,c,d,e}
{a}
{a,b,c,d,e}
{}
notice the last two are particularly interesting
the fact that we can choose {a,b,c,d,e} means N is a subset of itself
the fact that we can choose the empty set {} is also interesting, and it should be noted that the empty set is a subset of all sets

Answer 17

we could NOT have as a subset
{a,b,f} (because f is not in N)
{b,c,g,r} (because g and r are not in N)

remember the definition of a subset (let's call our subset M):
M is a subset of N if each element in M is also in N
the above examples fail that test

Answer 18

also the order doesn't matter
if
N={a,b,c,d,e}
we could have subsets
M={e,c,b,a}
or whatever; sets aren't ordered

Answer 19

so this would be it ..
N: {1,2,3,4,5}
{1,2,3}
{2}
{1,2,3,4,5}
{}

Answer 20

yes, all those are subsets of N, and any other combination of the elements of N would work as well

Answer 21

why? because they all pass the test
each element (number) in the subset is also an element of the set N

Answer 22

but you have to choose just one, don't write all four as an answer

Answer 23

...of the subsets you wrote I mean