true or false, the first portion needs, corrected, if false. if |w-7|<-3, then w-7>-3 or w-7<3

Question

I think it is false and should be corrected to |w-7|>-3. Is this correct? Thank you

Answer 1

l w - 7 l < -3

3 < w - 7 < -3

10 < w <  4

 

So, to correct the first portion, you should have l w - 7 l > -3

w - 7 <  3 or w - 7 > -3