Given the inequality |6-3w|

Question

Given the inequality |6-3w|<15
Write the inequality as two separate inequalities without absolute value.

gokuporter · Answer

(6-3w)<15 and (6-3w)<-15

anonymous · Answer

You're very close.  :D
The first inequality,6-3w<15, is correct. The other one would have the inequality sign pointing to the other direction (left instead of right).
6-3w>-15

gokuporter · Answer

how do you solve them i forgot how to..

gokuporter · Answer

oh thanks

anonymous · Answer

I can help you with that.   :)
You will want to solve them for x. Let's start with the first one, (6-3w)<15.
Firs, you will want to subtract 6 from both sides. After doing so, the inequality looks like this:
-3w<9
To solve for w, you simply divided by -3 to get the answer. Remember, however, that the inequality sign switches directions when you divide by a negative number. So, the answer to the 1st inequality is:
w>-3 (meaning that w is bigger than -3)

gokuporter · Answer

thank you! i understand it now

gokuporter · Answer

i can do the other one on my own thanks

anonymous · Answer

Are you sure? I typed the whole process for you, lol. Well, if you know how to do it, go for it! If you need more help just let me know or tag me.  ^_^