Question

How do I solve absolute value inequalities like this again?

Answer 1

\[-3\left| 6-x \right|<-15\]

Answer 2

Divide -3 on both sides first

Answer 3

do i divide inside the absolute value too?

Answer 4

completely forgot this..

Answer 5

let u=|6-x|
-3u<-15 <--- do you know how to solve this for u?

Answer 6

Then we have |6-x|>5.
No, we don't.

Answer 7

@freckles

Yeah, divide both by -3 and switch the sign

Answer 8

right and you what @Miracrown just posted u>5

Answer 9

We need to get rid of absolute value sign

Answer 10

In this case, y=6-x and a=5.

Answer 11

After that, we can solve for x

Answer 12

So to get rid of it, is it 6-x>5 and 6-x<-5?

Answer 13

it is not "and," it is "or."

Answer 14

6-x>5 ''OR'' 6-x<-5

Answer 15

Yes, my mistake

Answer 16

Now just solve for x?

Answer 17

Yep

Answer 18

x>11
x>1?

Answer 19

you do switch the sign from -x<-1 right?

Answer 20

Absolutely

Answer 21

So basically it's just x>1

Answer 22

Well I mean >11

Answer 23

as that satisfies both?

Answer 24

-5-6=-11

Answer 25

x>11 or x<1

Answer 26

Satisfies either. Cannot satisfy both

Answer 27

Forgot to switch the sign when taking out the absolute value