Question

Which notation shows the relationship between set A and set B?

Answer 1

Let set A = {1, 3, 5, 7} and set B = {1, 2, 3, 4, 5, 6, 7, 8}

Answer 2

A ∪ B

A ⊆ B

A ∩ B

B ⊆ A

Answer 3

What do you notice about all of the numbers of set A in terms of set B?

Answer 4

They're all the odd numbers

Answer 5

good start, what else?

Answer 6

I'm not so sure

Answer 7

let's go through each number in set A

Answer 8

and see how it relates to set B

Answer 9

The number 1 is in set A. Is that also in set B?

Answer 10

Yes

Answer 11

3 is in A, is it in B as well?

Answer 12

All the numbers that are in A, are in B, I see

Answer 13

good

Answer 14

all of A is contained in B

Answer 15

so that means A is a subset of B

Answer 16

we denote that by writing A ⊆ B

Answer 17

Ohhh. I see now. Just that little bit explains it a lot better than the assignment does lol. thank you. Could you help with one more maybe?

Answer 18

something like B ⊆ A is NOT true because there are numbers in set B that are not in A. So saying "set B is contained in set A" is false

Answer 19

Sure, go ahead and post it

Answer 20

Thanks for explaining. and okay hold on

Answer 21

A Venn diagram comparing a swamp to a rainforest is shown.

Answer 22

Which area represents elements contained in the sample space that are not contained in swamp or rainforest?

Answer 23

A

B

C

D

Answer 24

So it's essentially asking "what things are NOT in a rainforest and NOT in a swamp?"

Answer 25

Visually, this is outside of the two circles because if you are inside either one, then you are either in a rainforest or in a swamp (but we're really in neither)

Answer 26

So it would be A?

Answer 27

correct

Answer 28

B represents swamp only

Answer 29

C represents both swamp and rainforest at the same time

Answer 30

D is rainforest only

Answer 31

A is neither one

Answer 32

I see now. Thank you so much! I really appreciate it.

Answer 33

you're welcome