Question

What are the solution intervals for |2x – 1| + 6 > 9?

Answer 1

|2x – 1| + 6 > 9
|2x – 1| > 3
-3>2x – 1 > 3
-2>2x>4
-1>x>2
x<-1
x>2

Answer 2

argh

Answer 3

lol, I knew you would say something

Answer 4

@hero, answer is correct, method is all wrong

Answer 5

lol, but it gets the right answer. I could care less

Answer 6

in particular, could you explain what this means?
-1>x>2

Answer 7

in fact the only reason it gets the right answer is because you make a leap at the end in your mind

Answer 8

It's just an intermediary step in solving the problem. It means nothing until the solution is written

Answer 9

you write
-1>x>2
x<-1
x>2
but the first statement is entirely false

Answer 10

Just another one of my weird methods

Answer 11

lets do it correctly
first of all as you can see the answer is two intevals, so you have to write two intevals, not one

Answer 12

-1>x>2 is false, therefore, split into piecewise

Answer 13

x<-1
x>2

Answer 14

\[|2x – 1| > 3\]
\[2x-1<-3\text { or } 2x-1>3\]
\[x<-1\text { or } x>2\]

Answer 15

there is no such thing as
\[-1>x>3\] because this implies
\[-1>3\]

Answer 16

both of you are correct

Answer 17

like writing
\[-3=2x+1=3\]

Answer 18

-1>x>2 according to my logic means the same as the or statement you've written above.

Answer 19

"and" is not the same as "or"

Answer 20

The statement I've written above doesn't mean and, it means or

Answer 21

actually it means and

Answer 22

not in this case

Answer 23

and that is clear because you would not claim that
\[-1<x<3\] means "or" because that would be the whole real line

Answer 24

a>x>b means or
a<x<b means and

Answer 25

???

Answer 26

lol

Answer 27

\[3>x>2\] means "or" and
\[2<x<3\] means "and"
?????

Answer 28

That's not what I wrote satellite

Answer 29

you wrote
a>x>b means or
a<x<b means and

Answer 30

Yes

Answer 31

presumably a and b are variables

Answer 32

\[6>x>0\] means or then

Answer 33

You can't stick 2 and 3 wherever you want. You have to follow protocal

Answer 34

so if i solve an inequality and get
\[3>x>1\] that means, since this is an "or" statement, the whole real line is a solution. interesting

Answer 35

You're not following my logic correctly that's why.

Answer 36

no i am pointing out why your logic is incorrect

Answer 37

Nope, you intentionally switched 2 and 3, intentionally creating a false fallacy

Answer 38

\( |2x – 1| > 3 \implies 2x-1 > 3 \) or \( 2x-1 <-3 \) but not both.

Answer 39

i know exacty what you mean. in your head you are thinking that if you write
\[5<x<2\] (which is impossible) that since
\[5>2\] you really mean
\[x<2\text { or } x>5\] but that is not what it says

Answer 40

I always get the right answer, so I don't worry about that one misstep

Answer 41

and also, if this ever happens:

3>x>-1

I just simply reverse it to this:
-1<x<3

Answer 42

well at least we recognize that it is a misstep...

Answer 43

Actually, I retract that statement. It is not a misstep, but rather, an intermediary step.

Answer 44

yes, a wrong one!

Answer 45

hero cld u help this girl.

Answer 46

\[|x|<p\iff -p<x<p \text{ for } p>0\]
\[|x|<p\iff x<-p \text { or } x>p\]
"or" aint "and"

Answer 47

AY I NEED YOU GUYS HELP GO TO THE QUESTION I JUST POSTED

Answer 48

http://openstudy.com/study#/updates/4f36a6ece4b0fc0c1a0cf7dd

Answer 49

\[|x|>p\iff x<-p \text { or } x>p\]

Answer 50

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