Question

Solution to the compound inequality
-8 < 2x-4 <2
the first < is underlined.

Answer 1

Have you considered dividing by 2 and adding 2 (in that order)?

Answer 2

Or adding 4 then divide by 2, the more obvious way

Answer 3

you got this?

Answer 4

I dare you to defend your position that one or the other is "more obvious".

Answer 5

No, not really. I got -4 < -4 after I divided by two. I think its wrong.

Answer 6

Why did your inequality change? There used to be two relationships. You lost one.

-8 < 2x-4 <2

Divide by 2

-4 < x-2 < 1

See, still 2 relationships.

OR add 4

-4 < 2x < 6

Still 2 relationships.

Answer 7

Okay, so what do you do from there?

Answer 8

@tkhunny

Answer 9

You're almost done. Both methods have been explained. Finish one of them.

Answer 10

Should I add four to each side?

Answer 11

I don't know. I'm not sure where you are starting. Are you back at the beginning? Careful with the phrase "each side". You have three "sides".

Answer 12

@tkhunny Well right now I have -4<2x<6 do I add the -4 to the first and last side?

Answer 13

\(-4 \le 2x < 6\)

You want x by itself. Why would you do anything with the 4? That gets you nowhere. Try dividing by 2.

Answer 14

so now its -2 < x <3

Answer 15

@tkhunny

Answer 16

?? You do need to be able to see when you are done. Is x "solved for"? You're done.

Answer 17

I need help on some other problems to, would you mind helping me? I was just checking to make sure I was correct, btw

Answer 18

@tkhunny

Answer 19

-2≤x<3 is the answer

Answer 20

Post new question on new threads.