Question

Need two problems checked...

Answer 1

Solve the absolute value inequality.

36< {-2x+18/5} +9/5

{} absolute value

Answer 2

180/5 <{-2x+ 18/5}

-2x+18/5> 180/5

-2x+ 18/5< -180/5

Answer 3

I got--
x> -81/5

x< 99/5

Answer 4

okay so whats ur answer for number 1?

Answer 5

I posted both of my answers above.

Answer 6

Im not sure what you mean by number one. I only posted one question.

Answer 7

looks like you know the way to solve them, not sure about the numbers

Answer 8

and i am sure about my answer

Answer 9

Okay

Answer 10

\(|-2x+18/5|+9/5>36 \)
\(|-2x+18/5|>189/5 \leftarrow \text{one correction here}\)

Answer 11

Where are you getting 189 from???

Answer 12

36 - (9/5) = 171/5 for the first thing

Answer 13

36+9/5=189/5

Answer 14

Omg... 36 *5= 180 .. I forgot to minus the 9 -.-

Answer 15

eh should be 180-9 i added them

Answer 16

it is ok well make mistakes

Answer 17

we all*

Answer 18

but the she got the point

Answer 19

Now I have -2x> 153/5

-2x < -153/5

Answer 20

yah yo got the point of this
just made some few error just recheck for certainty

Answer 21

you know how this works that's what is important

Answer 22

i got the same result you should be good to go

Answer 23

Okay. But now im stuck.. -2 cant be divided into these. And my last problem like this just divided the top number by -2

Answer 24

multiply by -1/2
and switch the sign > to < and < to >

Answer 25

if you multiply by negative you should change the inequality

Answer 26

Uh? I know what the final answer is because I looked it up on mathway... But dont get how I go from what I have to it.

Answer 27

@Destinyyyy u have find it 171/10< x<-153/10 i didnt focus first time

Answer 28

The answer is (- infinity sign, -153/10) u (189/10 , infinity sign)

Answer 29

yup i was wrong its 189/10 sorry

Answer 30

i forget add 18/2 only sorry

Answer 31

How do I get from -2x> 153/5 and -2x< -153/5 to the final answer

Answer 32

i told you to multiply by -1/2 both sides

Answer 33

first one x<-153/10 see the inequality changed

Answer 34

second x>153/10

Answer 35

not that u have -2x>153/5 ------ 2x<-153/5 -----x<-153/10 @Destinyyyy

Answer 36

actually you made a mistake somewhere for the scond

Answer 37

i fix it now

Answer 38

it should not be -2x<-153/5

Answer 39

this is not - its just Arrow

Answer 40

Then Id have to change the denominators to 10... 306/10 5/10 .. Do I minus, divide, multiple?

Answer 41

What are you talking about? Its over 5 not 10

Answer 42

not that u have (-2x>153/5) ------ (2x<-153/5) -----(x<-153/10 ) @xapproachesinfinity this what i mean

Answer 43

the second should have been -2x<-189/5 then x>189/10

Answer 44

that what i meant she made a mistake in calculations

Answer 45

after that just read what x<-153/10 and x>189/10 mean in interval nottion

Answer 46

you should get that same answer you have by mathway

Answer 47

over 10 my bad

Answer 48

OMG. Seriously. Im an still at -2x> 153/5 and -2x< -153/5

Answer 49

I dont understand your multiple by -1/2.

Answer 50

you need to isolate x right

Answer 51

so we multiply by a minus sign which switches the inequality
then we multiply by 1/2 to get rid of 2

Answer 52

it is like you do with equation to islote the unknown

Answer 53

...

Answer 54

Still dont understand.

Answer 55

how would you solve 2x=4

Answer 56

Divide both sides by 2.

Answer 57

so same thing divide the inequality both sides by 2

Answer 58

that is the same as multiplying out by 1/2 hahaha

Answer 59

Okay. Like I said before its not possible. It gives a decimal.... K? So then Id have to change both denominators to 10.

Answer 60

why decimal ? you get -153/5x2

Answer 61

i dont see where do you get decimal?

Answer 62

What are you talking about? 153 divided by -2= -76.5

Answer 63

why you need to divide? leave it 153/5x2=153/10

Answer 64

\[|-2x+\frac{ 18 }{ 2 }|>\frac{ 171 }{ 5 }\]
\[\frac{ -171}{ 5 }>-2x+\frac{ 18 }{ 2 }>\frac{ 171 }{ 5}\]
\[\frac{ -171-18 }{ 5 }>-2x>\frac{ 171-18 }{ 5}\]
\[\frac{ -189 }{ 5}>-2x>\frac{ 153 }{ 5 }\]
\[-\frac{ 153 }{ 10 }>x>\frac{ 189 }{ 10 }\]
@xapproachesinfinity could u check my mistake @Destinyyyy this is real solution

Answer 65

you making this hard on youself

Answer 66

cuz i think this is right answer @xapproachesinfinity

Answer 67

No im not. You are making this impossible to understand. Ive waited 2 hours for help and now Im just confused. Normally you just divide it. And instead im suppose to multiple it. But all you did was change the denominator. Why???

Answer 68

yes your answer is good @dinamix

Answer 69

You said to multiply by 1/2 so I asked about changing both denominator to 10. And both times you did not respond. So im just suppose to do 5*2= 10 ?

Answer 70

heheheh thanks
i thought i made efforts to show you

Answer 71

I understand the first one. Now what about the other one.

Answer 72

@xapproachesinfinity ty @Destinyyyy what u didnt understand we can help u

Answer 73

ok dinamix take over i have to go

Answer 74

@xapproachesinfinity plz i dont know how to explain

Answer 75

Try showing me?

Answer 76

its hard to expalin idea for me @xapproachesinfinity this problem of me

Answer 77

@Destinyyyy what i show u

Answer 78

Can you just show me how you went from -2x< -153/5 to 189/10

Answer 79

-2x>153/5 to x<-153/10 right ?

Answer 80

that what u mean or what

Answer 81

If I go off from what both of you said before by just multiplying by -1/2 then Ill just get 153/10 which is not the correct answer. Which also makes me think how you said to solve the first one is not the correct way to solve it.

Answer 82

The fist sign goes < not >

Answer 83

-2x< -153/5 to 189/10

Answer 84

\[-2x+\frac{ 18 }{ 5} > 171/5\] and
\[-(-2x+\frac{ 18 }{ 5 })>171/5 \]\[\frac{ -171 }{ 5 } >-2x+\frac{ 18 }{ 5 }>\frac{ 171 }{ 5}\]

Answer 85

@Destinyyyy its 2 equation i make it only one did u understand now

Answer 86

36< |-2x+18/5| +9/5

Just because I like to write the absolute value expression first then the inequality thingy..
\[|-2x+\frac{18}{5}|+\frac{9}{5}>36 \\ \text{ so you subtracted } \frac{9}{5} \text{ on both sides } \\ |-2x+\frac{18}{5}|>36-\frac{9}{5} \\ |-2x+\frac{18}{5}|> \frac{180-9}{5} \\ |-2x+\frac{18}{5}| >\frac{171}{5} \\ \text{ now since this is a greater than we have a union } \\ \text{ that is we have } -2x+\frac{18}{5}<-\frac{171}{5} \text{ or } -2x+\frac{18}{5}>\frac{171}{5} \\ \text{ for both inequalities subtract }\frac{18}{5} \text{ on both sides } \\ -2x<\frac{-171}{5}-\frac{18}{5} \text{ or } -2x> \frac{171}{5}-\frac{18}{5} \\ \text{ simplifying right hand sides } \\ -2x <\frac{-189}{5} \text{ or } -2x >\frac{153}{5} \\ \text{ now you can say divide both sides by -2 } \\ \text{ or equivalently say multiply both sides by } \frac{-1}{2} \\ \text{ this is the same meaning just different saying } \]
\[\frac{-1}{2} \cdot (-2x)>\frac{-1}{2}(\frac{-189}{5}) \text{ change direction of inequality symbol } \\ \text{ since I multiplied both sides by a negative } \\ x>\frac{189}{10} \\ \text{ now the other inequality } \\ \frac{-1}{2}(-2x)<\frac{-1}{2}(\frac{153}{5}) \\ x<\frac{-153}{10}\]

so put the two pieces together and put or between them

Answer 87

@freckles like my steps lol

Answer 88

\[x<\frac{-153}{10} \text{ or } x>\frac{189}{10}\]

Answer 89

your solution seems to suggest -171 is greater than 171
since it says -171/5>171/5 @dinamix

Answer 90

@freckles but why we get same result

Answer 91

no I didn't get -171>171
because this is not true

Answer 92

Omg thank you @freckles I completely understood everything you said. And I saw where I messed up. I did write down the - for -171/5 so when I minus-ed the 18 I had the wrong answer. Now I have the correct one and understand how to solve the ending.

Answer 93

but @freckles look the last i get -153/10 >x or x>189/10 look

Answer 94

And all that turns into (- infinity sign, -153/10) u (189/10, infinity sign)

Answer 95

@freckles Can you check one more? I know that my answer is wrong, but im not sure how it is.

Answer 96

alright
one more
and then I eat