can some one tell me if I did this inequality problem correct?

Question

4<-x+2<8

I think the answer is
-2>x>-6
is this correct?

Answer 1

4 < -x + 2 < 8
-4 > x - 2 > -8 { Reverse the inequalities when multiplying or dividing by a negative number }
-2 > x > -6 { Add two to all sides }

Yes, you are correct.

Answer 2

yes, you remembered to reverse the inequalities when you divided by the negative.