Question

-4 is greater than 4(2-w) greater than -12

Answer 1

-4>4(2-w)>-12

-1>2-w>-3

-3>-w>-5

3<w<5

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If you're wondering why the sign changes when we divided (or multiplied) by a negative value, let's give a simpler example:

-5<-2 -> -5 is less than -2. That  expression makes sense. Now multiply that by -1. You get 5<x<2. Does that make sense? No. When you switch the signs of everything, the sign will always get switched.