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

pick a bunch of random numbers to create the set N

tell me what you get

Answer 2

do you know what I mean?

Answer 3

1,2,3,4,5,6,7,8,9,10

Answer 4

this is the set N

N = {1,2,3,4,5,6,7,8,9,10}

Answer 5

now we form a smaller set from this list of numbers

Answer 6

got it

Answer 7

which numbers do you want to pick (you don't have to pick them all)

Answer 8

1,3,5,7,9

Answer 9

that's a subset of N

it's not the only subset (turns out there are 2^10 = 1024 subsets)

Answer 10

it is a subset because each number in this smaller set can be found in the larger set

Answer 11

if you tossed in the number 24, which is NOT part of the original set N

this would turn {1, 3, 5, 7, 9, 24} into a set that is NOT a subset of N

Answer 12

so the requirement is that every number must be from the set N

Answer 13

for it to be a subset

Answer 14

Thanks so much! :)

Answer 15

yw