Question

HELP THIS IS DUE IN A WHILE HELP ME PLEASE .........
Given A = {x | x < 1}, B = {x | x ≥ 5}, and C = {x | x = 5}, match the following items.
1. A U B 1. Ø
2. A U C 2. {x | x < 1 or x = 5}
3. B U C 3. {x | x < 1 or x ≥ 5}
4. A ∩ B 4. {x | x ≥ 5}
5. B ∩ C 5. {x | x = 5}

Answer 1

i need help D:

Answer 2

do you know what A U B means?

Answer 3

No

Answer 4

or for that matter, A \(\large \cap \) B ?

Answer 5

no

Answer 6

you must at least have an idea, what does your notes say?

Answer 7

the notes i have i got from odyssey and they dont help the give me vocab and examples

Answer 8

ok... i'll explain them...:)

Answer 9

:)

Answer 10

A \(\large \cup \) B means the union of A and B. It mean put whatever is in set A and whatever is in set B combined.

A \(\large \cap \) B means the intersection of A and B. It means what do set A and set B have in common.

Answer 11

so A U B is the combined set of A and B... which matches that?

Answer 12

btw... when you combine two sets, they are joined by "OR"

Answer 13

ok so like A U B is {x | x < 1 or x ≥ 5} because they are combined

Answer 14

yes...:)

Answer 15

now let's do the second one...

Answer 16

ok

Answer 17

that one looks easy... A U C matches which one on the right?

Answer 18

{x | x < 1 or x = 5}

Answer 19

correct.... see? not too hard eh?

Answer 20

what about the third one? looks like something missing between the B and C...

Answer 21

its a U

Answer 22

B U C

Answer 23

ok so if you combine B and C what do you get?

Answer 24

notice B already has what C has... so if you were to combine those two sets....

Answer 25

i dont think you can combine them..........or can you

Answer 26

you can always combine sets....
all things in B combined with all things in C....

Answer 27

take a guess.... you only have three options...

Answer 28

{x | x = 5}

Answer 29

so you're saying if I combine all things in B and all things in C, i will get a set that contain only 1 thing (x=5)?

Answer 30

i think i should get more than just 1 element....

Answer 31

im still a little confused i dont understand how those two can be combined

Answer 32

set B contains all numbers greater than 5, including 5.
set C contains only 1 element, x=5

notice set B actually contains set C... we call C is a subset of B.
so if I combine set B with set C, i still get everything in set B...

Answer 33

os you'll just get {x | x ≥ 5} ?

Answer 34

yes...:)

Answer 35

wow that was easy

Answer 36

yes but that's not the best part... intersection is much easier....

Answer 37

A \(\large \cap \) B means what do these two have in common?

Answer 38

this things <> ?

Answer 39

set A contains numbers less than 1
set B contains numbers greater than 5, including 5
what do they have in common? is anything in set A in set B? and vice versa?

Answer 40

yes ?

Answer 41

set A = {1/2, 0, -1, -.333, -4, -500000, ....} - these are numbers less than 1
set B = {5, 5.1, 5.9, 25, 500000, ....} - these are numbers bigger than 5 including 5

can you give me a number that is in setA which is also in setB ?

Answer 42

no

Answer 43

no... they don't have anything in common...
so the answer is the empty set. that's the zero with the slash through it.

Answer 44

oh ok :)

Answer 45

the last one is trivial since we did everything....
but I'd like you to see that to answer B \(\large \cap \) C, you look for the common thing(s) in set B and set C.....

Answer 46

the only thing they have in common is what is in set C... x=5....

Answer 47

just 5

Answer 48

yep...

Answer 49

good work man....:)

Answer 50

thank you :)

Answer 51

yw...:)

Answer 52

wait i got one last question

Answer 53

its diff i think from this question