Solve |2x -5| > 7.

- anonymous

Solve |2x -5| > 7.

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- anonymous

x > 6 or x < -1
-1 < x < 6
x > 6 and x < -1

- anonymous

You just solved your own problem.

- anonymous

? lol those are the multiple choice :D @Brenar

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## More answers

- anonymous

Ah, makes much more sense. First off, since this is an absolute value inequality you'll have to split it into two inequalities as such:
\[-7>2x-5>7\] You have an idea of where to begin?

- anonymous

B..Probably?

- anonymous

Do you understand how I set up the inequality?

- anonymous

? not really

- zzr0ck3r

@Brenar this is wrong, a number cant be greater than 7 and less than -7 at the same time...

- anonymous

x>6 or x<-1

- zzr0ck3r

This is how we do these
|2x-5|>7
so
2x-5>7
2x-5<-7
solve these
x>6 or x<-1

- zzr0ck3r

ie
|a-b|>c <===> a-b>c or a-b<-c

- zzr0ck3r

−7>2x−5>7
^^^ this makes no sense.

- zzr0ck3r

that implies, by transitivity, that 7<-7

- zzr0ck3r

you are thinking of |a-b|

- anonymous

l2x-5l>7
+5 +5
_____________
2x > 12
then divide by 2 and you get
x>6

- zzr0ck3r

nope, regular algebra does not work on absolute values.

- zzr0ck3r

|2x|+5 != |2x+5|

- zzr0ck3r

or simply plun in -3 to see it is true:)

- anonymous

yeah but i use that for the second solution

- zzr0ck3r

we showed both solutions, and what you typed is not correct

- zzr0ck3r

l2x-5l>7
+5 +5
^^^is not right

- anonymous

mathway.com

- zzr0ck3r

I don't need a website to tell me that |x|+5 is not the same as |x+5|

- zzr0ck3r

I know its not:)

- zzr0ck3r

it would be right if you wrote
2x-5>7
+5 +5

- zzr0ck3r

but not with the | |

- anonymous

yes with the absolute value sign

- zzr0ck3r

ok ....

- zzr0ck3r

then |x|+5 = |x+5|

- zzr0ck3r

and so |-3|+5 = 8 = 2 = |-3+5|

- zzr0ck3r

so 2=8

- zzr0ck3r

what is |-3+5|?
what is |-3|+5?

- zzr0ck3r

you see now?

- anonymous

and how much math experience do you have?

- zzr0ck3r

im about to graduate

- zzr0ck3r

with honors with a math degree:)

- zzr0ck3r

you don't have to trust me, show me where you read it and ill show you how you read it wrong.

- anonymous

take a calculator and repeat the action. also check mathway.com its a calculator.

- anonymous

middle school?

- zzr0ck3r

college...

- anonymous

proud of you. i just logged on today. doesnt matter to me

- zzr0ck3r

you asked? maybe grow up....im trying to help because you are telling someone how to do something wrong.

- zzr0ck3r

answer these questions and you should be able to understand why
what is |-3+5|?
what is |-3|+5?

- anonymous

hahaha says the person with a name they cant even spell correctly. certaintly not graduating with an english major

- zzr0ck3r

your name is cristina17?

- anonymous

yes captain O

- anonymous

i know...it is

- anonymous

try mathway.com

- anonymous

thats what i said

- zzr0ck3r

lol omg
what is |-3+5|?
what is |-3|+5?
now
ARE THEY THE SAME???????????????????????

- anonymous

haha sorry...

- zzr0ck3r

think for yourself....don't run to the website:)

- anonymous

lol mathway.com

- zzr0ck3r

p.s. solving for x in |x|+5 = |x+5| is not the same thing as saying |x|+5 = |x+5| for all x.....

- zzr0ck3r

that statement is true if and only if x is 3

- anonymous

ok i got it now. use the multiple choice answers and work backwards
l2(7)-5l>7...aka 9>7
l2(-2)-5l>7...aka 9>7

- anonymous

so the answer x > 6 and x < -1 is correct

- zzr0ck3r

yes

- anonymous

that is what i had said earlier...i just lacked the explanation

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