Question

Solve the absolute value inequality: |x - 6| > 2

Answer 1

x > 8?

Answer 2

:c no.

Answer 3

x>8
x>4

Answer 4

|x-6| > 2 implies
x - 6 > 2 and -(x-6) > 2.

In the first case
x-6 > 2 => x > 8

In the second case,
-(x-6) > 2 => -x+6 > 2
=> -x > -4
=> x < 4

Therefore |x-6| > 2 for x > 8 or x < 4

Answer 5

what?

Answer 6

This makes complete sense if you think geometrically what |x-6| means. Draw a number line, mark off +6. The x such that |x-6| > 2 means x which are more than 2 away from 6.

If x is more than 2 away from 6, then x > 8 or x < 4.

Answer 7

how do u do the ablsoute value sign james? i waanted to show how to solve it but i couldn't find the sign

Answer 8

|x-6| > 2 means that EITHER x-6 is positive and hence |x-6| = x-6 > 2
OR x-6 is negative and hence |x-6| = -(x-6) > 2

Answer 9

I really still don't understand...

Answer 10

draw a number line as I describe and figure out where x can be.

Answer 11

... I don't know.

Answer 12

I'll make you a pic. one minute

Answer 13

Here ...

Answer 14

I don't get it.

Answer 15

What is the definition of |x| ?

Answer 16

I don't know.

Answer 17

what do you not understand

Answer 18

Oh, that's a big problem then, isn't it? You can't solve an equation that you just don't understand.

Answer 19

Have you discussed |x| in class?

Answer 20

and do you have a text book?

Answer 21

No and no. :c

Answer 22

absolute value of x. its the distance from zero right james?

Answer 23

In that case, how does your teacher expect you to solve this problem?

And what is it with people not having text books these days?

Answer 24

ikr!

Answer 25

I'm going to point you to some Khan Academy videos that will teach this to you. Spend some time with them, watch them several times at your own pace. One sec.

Answer 26

do you remember what your teacher taught u? tell us everything u remember

Answer 27

There's four or more videos here on this topic. Watch them, watch them again, and you'll pick it up.

Here's the first one:
http://www.khanacademy.org/video/absolute-value-1?playlist=Algebra%20I%20Worked%20Examples

The next videos you can click to in the top right of the video.

Answer 28

I'm taking a test right now and I don't have a test book because i'm in a virtual school.

Answer 29

you're asking us to help you with a test question?

Answer 30

u aren't cheating r u?

Answer 31

NO. I just want someone to explain how to do this so I can answer 5 questions.

Answer 32

Watch the videos. this is too complicated a topic to explain to you here if you've never seen it before. I'm not trying to blow you off; just telling you the truth.

Answer 33

also, the Khan Academy videos come with exercises; do those so you know whether or not you're understanding.

Answer 34

how about we show u a sample question not from your test but just a random one. james can u get a sample one? i cant find the absolute value sign

Answer 35

chto?

Answer 36

The sequence of videos beginning here is also helpful:
http://www.khanacademy.org/video/absolute-value-inequalities-example-1?playlist=Algebra+I+Worked+Examples