Question

Solve:
2 Iv+8I-6<6

I'm getting -14 13 years ago

Answer 1

\[2\left| v+8 \right|-6<6\]

Answer 2

Sorry idk

Answer 3

So it should be -14 or -2???

Answer 4

add 6 to each side

Answer 5

then divide by two

Answer 6

wouldn't it be v<-2?

Answer 7

no, im sorry look at the picture above.
since it is an absolute value problem it is not possible for it to be less than 0

Answer 8

ahhh ok

Answer 9

hope this helps!

Answer 10

It does thank you very much

Answer 11

This is what wolfram gave me as the solve.
http://www.wolframalpha.com/input/?i=2abs%5Bv%2B8%5D-6%3C6

Answer 12

Looks different because they took the real value of IvI
Just need to be sure... http://www.wolframalpha.com/input/?i=solve+2abs%5Bv%2B8%5D-6%3C6

Answer 13

You should isolate your absolute value.

1)Add 6 to both sides:
2) Then divide by 2:

Answer 14

|v+8|<6

Answer 15

@jhonyy9 Go Navy! I'm a Former CTO... before they went CTN.

Answer 16

Then set -6 <v+8 < 6

Answer 17

Then subtract 8 from all three parts of the inequality.
-6-8 < v+8 -8 < 6-8

Answer 18

Finally,
-14 < v < -2

Answer 19

WOW!!! That was complicated! Why did she say that an absolute value inequality could not be a negative number?

Answer 20

What she meant was that an Absolute value never results in a negative number, but you can have a negative value inside an absolute value, as it will be positive when you take its absolute value.

Answer 21

Absolute value takes care of the negative, it's like |4| which is equal to +4 or -4

Answer 22

Ahhhhh!!! NOW I see!!! Wooo Hooo!

So when I answer this, it should be -14 "or" -2. OR should it be -14 "and" -2?

Answer 23

I know the set notation would be (-14,-2) but that is not an option in the answer section.

Answer 24

No, it is exactly as I have writtern it. X can take on any value that falls between (-14, 2).

Answer 25

Ah, then you could say x is between -14 and -2.

Answer 26

IT has to fit both inequalities at the same time, which means it is an 'and' statement.

Answer 27

x is greater than -14 and x is less than -2

Answer 28

Awesomeness! Thank you @calmat01 I understand now- you're great! wish I was half as good at this stuff...

Answer 29

No problem. Glad I could help.

Answer 30

Thanks to everyone else too ;) Looooove open study.com!!!