The given inequality is expressed as
-I2x + 4I > - 4
The first step is to divide both sides of the inequality by - 1
It becomes
-I2x + 4I/- 1 > - 4/- 1
Since we are dividing with a negative number, the inequality sign reverses. It becomes
I2x + 4I < 4
- 4 < 2x + 4 < 4
- 4 - 4 < 2x + 4 - 4 < 4 - 4
- 8 < 2x < 0
Dividing through by 2, it becomes
- 8/2 < 2x/2 < 0/2
- 4 < x < 0
Therefore, we can see that x > - 4 and x < 0
The correct option is B
