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3<x+3<9

This has two answers so do it in 2 parts

-3<x+3 and x+3<9

First part aka first step

-3<x+3

x+3-3>-3-3

(x>-6)

Then do this

x+3-3<9-3

x+3<9

subtract 3 from both sides

x<6

so the two answers are

 (x>-6) and (x<6)

Then combine them like this

-6<x<6

-3 < x + 3 < 9

             -3   -3

-3< 1x <6

         ------

            1x

x=6

Then....

-3

------

1x

x=-3

I think I did it right!  :)

Hayley, that is a really good answer but you made it a little more difficult than necessary.

You did not need to break it up.

-3 < x + 3 < 9

just add 3 to all three 'sides'

-3-3 < x + 3 -3< 9-3

-6<x<6