Question

Solve |2x -5| > 7.

Answer 1

x > 6 or x < -1

-1 < x < 6

x > 6 and x < -1

Answer 2

You just solved your own problem.

Answer 3

? lol those are the multiple choice :D @Brenar

Answer 4

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?

Answer 5

B..Probably?

Answer 6

Do you understand how I set up the inequality?

Answer 7

? not really

Answer 8

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

Answer 9

x>6 or x<-1

Answer 10

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

Answer 11

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

Answer 12

−7>2x−5>7
^^^ this makes no sense.

Answer 13

that implies, by transitivity, that 7<-7

Answer 14

you are thinking of |a-b|<C imples -c<a-b<c I think you are getting this confused with the question in the topic.

Answer 15

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

Answer 16

nope, regular algebra does not work on absolute values.

Answer 17

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

Answer 18

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

Answer 19

yeah but i use that for the second solution

Answer 20

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

Answer 21

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

Answer 22

mathway.com

Answer 23

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

Answer 24

I know its not:)

Answer 25

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

Answer 26

but not with the | |

Answer 27

yes with the absolute value sign

Answer 28

ok ....

Answer 29

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

Answer 30

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

Answer 31

so 2=8

Answer 32

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

Answer 33

you see now?

Answer 34

and how much math experience do you have?

Answer 35

im about to graduate

Answer 36

with honors with a math degree:)

Answer 37

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

Answer 38

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

Answer 39

middle school?

Answer 40

college...

Answer 41

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

Answer 42

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

Answer 43

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

Answer 44

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

Answer 45

your name is cristina17?

Answer 46

yes captain O

Answer 47

i know...it is

Answer 48

try mathway.com

Answer 49

thats what i said

Answer 50

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

now
ARE THEY THE SAME???????????????????????

Answer 51

haha sorry...

Answer 52

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

Answer 53

lol mathway.com

Answer 54

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

Answer 55

that statement is true if and only if x is 3

Answer 56

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

Answer 57

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

Answer 58

yes

Answer 59

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