Question

Can any one explain Unions and
Intersections of Sets? I am so lost and cant begin to understand!!!!!!

Answer 1

i will explain this topic using a basic example...

Answer 2

let A=(1,2,3) and B=(3,4,5)

Answer 3

A intersect B ={3}

Answer 4

A union B ={1,2,3,4,5}

Answer 5

as u can see for intersection it
\[3 \in A \space and \space 3 \in B\]

Answer 6

are u following, this topic is basic but it is important in many application especially in engineering

Answer 7

when u are back let me know...

Answer 8

Im back, I sorry still lost

Answer 9

can u kindly tell me what level u are at, so i can simplify my answer

Answer 10

I am new to this, this is my first time being introduced to this lessson!!!!!!

Answer 11

suppose u have a box that has orange and banana let's call it box A, and suppose we have another box that has banana and apple

Answer 12

how do we write that mathematically

Answer 13

????

Answer 14

A={banana, orange} and B={banana, apple}

Answer 15

so if i was to say select the bananas how would i express that mathematically, ur will say well i can find some banana in box A and also in box B, hence how do i say that or express that mathematically?

Answer 16

ok
A=Bananas and B= Bananas

Answer 17

thats right

Answer 18

but we need to follow the rules of set theory so we need to write it using the rules of set

Answer 19

so try to use the rules of set

Answer 20

okay so how do I figure out the sets

Answer 21

like A=1,2,3 B=4,5,6

Answer 22

well what u said of A=banana and B = banana is not actually how u write it in set theory, what u should say A intersect B=(banana)

Answer 23

A = (1,2,3) and B=(3,4,5) if i tell u find the intersection and then find the union

Answer 24

just by looking at set A and B u can see easily that A intersect B = (3)

Answer 25

can u see that

Answer 26

Nope thats where I get lost

Answer 27

well can u see that 3 belongs to set A and 3 belongs to set B?

Answer 28

yes

Answer 29

this is called intersection in set theory is that clear now

Answer 30

is it like graphing(they would meetup at 3)

Answer 31

now when it comes to union what we do is we select every in set A and everything in set B apart of the intersected value

Answer 32

yes something like that

Answer 33

we use something called venn diagrams

Answer 34

okay

Answer 35

so if A=(2,3,4) and B = (2, 3,5) what is A intersect B?

Answer 36

3 huh

Answer 37

look at it again

Answer 38

tell me what is in common in A and B

Answer 39

that they both have 2 and 3 as there=

Answer 40

well done see now u got it

Answer 41

so if i graph it, 2 will be there they meetup which makes A=2 and B=2

Answer 42

no forget the graph now because even the graph has its own rules when it comes to set theory

Answer 43

oh okay

Answer 44

what about the union?

Answer 45

i understand that the union of two or more sets is the set that contains all elements of the sets so that will be 2,3!!

Answer 46

2, 3, 4 and 5 that is what union does

Answer 47

can u visualize the whole picture now

Answer 48

yes

Answer 49

i think im getting the hang of it now

Answer 50

good girl well done, but just try to practice a bit then u'll get better and better

Answer 51

sorry i was replying to another problem on differentiation...

Answer 52

Thats okay Thanks alot

Answer 53

ur welcome...