Question

Anyone good with sets unions and intersections??
D = {x | x is a whole number}
E = {x | x is a perfect square between 49 and 100}
F = {x | x is an even number between 10 and 20}

Answer 1

interpretation:
D ={ 0,1,2,..........}
E = {7, 8, 9}
F ={ 10, 12, 14,16,18,20}
now, draw it out
which one is the big one?

Answer 2

hang on there is more to this

Answer 3

What do you mean?

Answer 4

D ∪ F
D ∩ F
D ∩ E
E ∩ F
D ∩ (E ∪ F)

Answer 5

leave then come back to see it

Answer 6

Of course we will get there, but have to know what they are first.

Answer 7

yes, to find those you need to know what the sets are

Answer 8

The so-called "What the sets are" is what I interpreted the sets above.

Answer 9

hahaha... half is not enough... I lost my attention now. Good luck.

Answer 10

U means union. that means "merge" both sets then take out any duplicates (sets *never* have duplicates)

example: A={1,2}, B={2,3} ; A U B = {1 2 2 3} BUT no duplicates, so {1 2 3}

Answer 11

intersection means the elements are in both sets.
Example
A={1 2} ; B={2 3}
A \( \cap\)B= {2}


now you try.

Answer 12

i know what the symbols are and what they mean, I just needed help interpreting the sets

Answer 13

Loser already listed them out in the very first post.

Answer 14

I see that but my answers arent matching up with the ones I have

Answer 15

what are the choices for D U F ?

Answer 16

or what do you think D U F is ?

Answer 17

all whole number or 64 and 81

Answer 18

from up there, D union with... nvm

Answer 19

is it all whole numbers??

Answer 20

yes. I hope it's clear that all the numbers in F are whole numbers *so they are already in D*
merging F into D does not add any new numbers (just duplicates).
In other words, D U F is D

Answer 21

though you mentioned 64 and 81. those are in E not F.
so be clear: F is {10 12 ... 20}

Answer 22

what do you get for D \( \cap \) F ?

Answer 23

in other words, what numbers are in *both* D and F ?

Answer 24

Yeah, I think so, 12, 14, 16, 18??

Answer 25

you should get back D, whatever D is.
It's not clear to me if D includes 10 and 20 or not... it depends what they mean by between.

Answer 26

D is all whole numbers, F is every even number between 10 and 20

Answer 27

yes.but does "between 10 and 20" include 10 ? I would think not, but it might. (if it did include 10 and 20, they could add the word "inclusive" to make it clear)

Answer 28

no, it shouldnt, none of the answers here have both 10 and 20. I think looser was a little off

Answer 29

ok.
can you figure out what E is ?
perfect square between 49 and 100 (which means 49 and 100 do not count)

Answer 30

I know, and looser said 7 8 and 9, I think he means 49 64 and 81, so I would think 64 and 81

Answer 31

yes

Answer 32

So intersection would just be those 2 numbers because D is all whole numbers.

Answer 33

yes. in fact would know D \( \cap \) E = E (because E has only some of the whole numbers)

Answer 34

so whatever is in E are the only numbers that are in both E and D (which has all whole numbers)

Answer 35

mhmm, and E n F would just be an empty set because they dont have any numbers in common

Answer 36

yes

Answer 37

your good at this :P how high is you education?

Answer 38

The ideas are not that hard, but thinking this way is helpful for thinking in general.

Answer 39

I know, I just needed a little help figuring out how to interpret the sets themselves, all the rest is simple