What is the solution to the set of lx-2l>3?
X<1 or x>-5
X<-1 or x>5
X>1 or x<-5
X>-1 or x<5

- anonymous

What is the solution to the set of lx-2l>3?
X<1 or x>-5
X<-1 or x>5
X>1 or x<-5
X>-1 or x<5

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- anonymous

What is the degree of the polynomial 2h^5+3h^4+h^2-3

- anonymous

1.
\[\left| x-a \right|>b \implies \left( x-a \right) <-b ~and~\left( x-a \right)>b\]

- anonymous

2. highest degree of h

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## More answers

- anonymous

I have no clue what you said

- SolomonZelman

do you know what |x-2| means ?

- anonymous

No

- anonymous

@SolomonZelman

- anonymous

I also have 1 more question after this if you don't mind helping

- SolomonZelman

we can't jump like this (it's not basketball)

- SolomonZelman

So, when you say |4| that means "absolute value of a 4 (i.e. a distance of 4)

- SolomonZelman

tell, me what do you get for 4-0 and for 4-8 ?

- anonymous

4 and -4

- SolomonZelman

yes

- anonymous

Do I just plug in the numbers into x?

- SolomonZelman

hold on, follow along with me

- anonymous

Okay

- SolomonZelman

if you say |4-0| or |4-8|
(the first one mean "the absolute value of 4 minus 0" , and that is "the distance from 4 to 0")
(the first one mean "the absolute value of 4 minus 8" , and that is "the distance from 4 to 8")
both of these distances (from 4 to 0, and from 4 to 8) are (each of them is) =4

- SolomonZelman

let me draw this

- SolomonZelman

|dw:1435287030792:dw|

- SolomonZelman

|dw:1435287260043:dw|

- SolomonZelman

|4-8| = ? (can you tell me . when you are done reading)

- anonymous

-4 or 4

- SolomonZelman

no, only 4

- SolomonZelman

it is the distance. (You can walk 4 miles, but you don't walk -4 miles)

- anonymous

So there can't be a negative

- SolomonZelman

yes, when every there is an absolute value marks |...|

- SolomonZelman

when ever*

- anonymous

Okay so the answer to my question would be x<-1 or x>5?

- anonymous

Or would it be x<1 or >-5

- SolomonZelman

|x-2|>3
means that there is a point x on a number line, the distance from which, to a 2, is greater than 3 units.
------------------------------------
x<-1 means that x is smaller than -1
`|-1.1 - 2|>3`
`|-3.1|>3`
`3.1>3`
true?

- SolomonZelman

or x>5 means that x is greater than 5
|5.1-2|>3
|3.1|>3
3.1>3
true?

- SolomonZelman

yes, x<-1 or x>5 is correct

- anonymous

Thank you! I understand now

- anonymous

How would I use the quadratic formula to solve x^2+5x=-2. Using complete sentences

- anonymous

@SolomonZelman

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