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Mathematics 15 Online
OpenStudy (anonymous):

Has anyone ever seen an "of" statement...here is the problem... |x| = -a + or - A

OpenStudy (anonymous):

|x| = -a How can you modify the value of a so that you would have a solution to |x| = -a of +a

myininaya (myininaya):

if x<0, then |x|=-x if x>0, then |x|=x if x=0, then |x|=0 so for example -3<0, then |-3|=-(-3)=3 for example 3>0, then |3|=3

OpenStudy (anonymous):

|3| =3 whereas |-3| =-(-3) =3 , consider the absolute value notation like a device that gives a positive value all the time

myininaya (myininaya):

lol you used 3 too

OpenStudy (anonymous):

wooow , good chance

OpenStudy (anonymous):

I understand the absolute value part but I dont get the of (plus or minus) the a

myininaya (myininaya):

\[|x|=\pm x\] since we don't know if x>0 or if x<0

jimthompson5910 (jim_thompson5910):

If |x| = a, then x = a or x = -a where 'a' is a nonnegative number

jimthompson5910 (jim_thompson5910):

Ex: |x| = 6, so x = 6 or x = -6

OpenStudy (anonymous):

you are convinced that the absolute value output would be a positive or zero, right?

OpenStudy (anonymous):

absolute value is just like a distance from 0 got that part

myininaya (myininaya):

the input can be any real number (and imaginary but lets not go there)

OpenStudy (anonymous):

exactly a distance is a scalar quanitity in , phyiscally

OpenStudy (anonymous):

|x| = -a of (+ or -) a...What is "OF"

OpenStudy (anonymous):

might this way of writing the definition of the absolute value confused you, let it me write in another way. using a draw.

OpenStudy (anonymous):

|dw:1316303451939:dw|

OpenStudy (anonymous):

look at the darwing now and tray any number as an example

OpenStudy (anonymous):

what's ur feedback?

jimthompson5910 (jim_thompson5910):

Or put another way, \[\Large |x|= \begin{cases} x & \text{if } x\ge 0, \\ -x &\text{if x < 0.} \end{cases}\]

OpenStudy (anonymous):

exactly

OpenStudy (anonymous):

but he might see it not clear, so may talk to him about after removing the

OpenStudy (anonymous):

unclearity

OpenStudy (anonymous):

of the way he found the definition .

OpenStudy (anonymous):

I dont think you guys are hearing me...I dont know what the "OF" in that statment means, I am now thinking its a teacher typo

jimthompson5910 (jim_thompson5910):

yeah sounds like it should be "or"

OpenStudy (anonymous):

oh, man yopu are taking about some kinda mistyping

OpenStudy (anonymous):

forget about that

OpenStudy (anonymous):

I am not sure lol

OpenStudy (anonymous):

it doesn't matter here

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