Question

What is set builder notation?

Answer 1

what do you mean?

Answer 2

If you tell me what you mean I can help you :)

Answer 3

well like here is an example problem, I have no clue what to do with it :c

Answer 4

A shorthand used to write sets, often sets with an infinite number of elements. Note: The set {x : x > 0} is read aloud, "the set of all x such that x is greater than 0." It is read aloud exactly the same way when the colon : is replaced by the vertical line.

Answer 5

how would you start out with it?

Answer 6

@beccamarie603 that's correct I was about to say that LOL

Answer 7

haha

Answer 8

@DarkBlueChocobo read the link that @ganeshie8 gave you its VERY helpfull

Answer 9

well you have a wonderfull day and I hope you good luck on that test! bye for now :)

Answer 10

for that particular problem, first figure out what the domain is

Answer 11

Would this be an example of the problem at hand ganeshie?

Answer 12

yes, the denominator of a fraction can never be 0

Answer 13

yes exatly

Answer 14

\[\large \dfrac{3-x}{5x+1}\]

Answer 15

what @ganeshie8 said the demomator of a fraction can never be 0 or else you can't get your answer

Answer 16

Since the denominator equals 0 when x = -1/5, the domain includes everything except this :

Domain = \(\large \{x | x \ne \frac{1}{5}\}\)

Answer 17

Alrights sorry if i have delay i keep looking at the link ganeshie gave and come back aha

Answer 18

erg this seems complex >.<

Answer 19

***

Domain = \(\large \{x | x \ne -\frac{1}{5}\}\)

Answer 20

read it as : "x such that x is not equal to -1/5"

Answer 21

like, if you don't like pineapples, you would order like below in a juiceshop :

" fruit such that the fruit is not pineapple "

Answer 22

how did you find that though?

Answer 23

could you go through tthe steps

Answer 24

you do know how to find the domain of a rational function right ?

Answer 25

well i do not think so :c sadly

Answer 26

Is 3/0 a number?

Answer 27

no because the denominator cant be 0

Answer 28

wait is that like when you break down an equation ganeshie

Answer 29

do you mean, you want to set the denominator equal to 0 and solve x so that you find what exactly makes the denominator 0 ?

Answer 30

simply set the denominator equal to 0 and solve x
that gives you exclude values for the domain

whats the denominator in your rational function ?

Answer 31

5x+1=0 x=--1/5

Answer 32

why two negative signs -- ?

Answer 33

oh it was a miss type only ment one aha

Answer 34

:) so x = -1/5 is the evil value that makes your function go crazy
so exclude it from the domain

Answer 35

are there any other values for x that make your function undefined ?

Answer 36

Alright so that is why it would be be b

Answer 37

yes your funciton is OKays for all other values of x, the only exclude value is -1/5

Answer 38

Alright so that makes sense but for the next one it changes. Do you just set the denominator to 0 and check to see if it is not equal to 3/5?-

Answer 39

factor "-1" from the numerator and see what you get

Answer 40

well im confused because there isnt -1 there >.<

Answer 41

well, we can write ` a-b ` as ` -(b-a) `

Answer 42

just an algebra game

Answer 43

ohh so -(5x-3)?

Answer 44

are you rearranging denominator like that ?

Answer 45

\[\large \dfrac{5x-3}{3-5x} = \dfrac{5x-3}{-1(5x-3)}\]

Answer 46

you can cancel 5x-3 top and bottom, assuming 5x-3 is never 0

Answer 47

\[\large \dfrac{5x-3}{3-5x} = \dfrac{5x-3}{-1(5x-3)} = -1 ;~~5x-3 \ne 0\]

Answer 48

wouldnt this just switch the signs?

Answer 49

Erg *facepalm* i forgot you said denominator not numerator T-T

Answer 50

no, i said both to confuse you ;P

Answer 51

you could do that to either of them, it doesnt matter

Answer 52

so what i see is that you factored -1 into the denominator and canceled out 5x-3 then got =1 for your answer?

Answer 53

-1*

Answer 54

thats right !

Answer 55

alright thank you for taking the time to explain this to me haha

Answer 56

so then this would be false

Answer 57

its true ! facepalm moment for meh lol

Answer 58

c:V<SKguagigjgijggifgjfkfggdbdo

Answer 59

heeeeheeeeeheeeheeehee

Answer 60

the statement in your question says exactly what we concluded just now

go thru it again :)

Answer 61

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Answer 62

gyufftyfhdxdcft

Answer 63

what makes you so happy @edmodo :)

Answer 64

i am going to pre order dragonball xenoverse today

Answer 65

i read the reviews of the game and its going to be great

Answer 66

heeeeeeeeheeeeeeeheeeeeeheeeeee

Answer 67

are you going to get xenoverse too

Answer 68

im not much into gaming unless you call pacman a game! but dragonball sounds cool, hope you have lots of fun :)

Answer 69

ok i like pacman too he is on the newest supr smash bros on wii u or 3ds