Which graph represents the solutions to the inequality |3x − 6| 3?

Question

Which graph represents the solutions to the inequality |3x − 6| > 3?

anonymous · Answer

A

anonymous · Answer

B

anonymous · Answer

C

anonymous · Answer

D

tkhunny · Answer

|3x-6| = 3|x-2|  Okay, it must be centered on x = 2

">" -- Okay, keep those circles open.

Are we done?

anonymous · Answer

Hm i think so. which one is that exactly?

tkhunny · Answer

You tell me.  You must have this tiny amount of confidence.  I can't give it to you.

|3x - 6| > 3

3|x - 2| > 3

|x-2| > 1

+/- 1 from that center of x = 2.

anonymous · Answer

see the graphs
they are from 1 and 3

anonymous · Answer

^ wait what do u mean

tkhunny · Answer

I saw them.  Did you?  Which one has these properties:

1) Centered on x = 2
2) +/- 1 from 2, making it from 1 to 3.
3) Includes NEITHER endpoint.

Look at them and decide which has ALL THREE of these characteristics.

anonymous · Answer

take a look http://www.wolframalpha.com/input/?i=+ |3x+%E2%88%92+6|+%3E+3