Respuesta :
|2x+4| > 8 breaks down into two inequalities: 2x+4 > 8 or 2x+4 < -8
Solving 2x+4 > 8 leads to...
2x+4 > 8
2x+4-4 > 8-4
2x > 4
2x/2 > 4/2
x > 2
Solving 2x+4 < -8 leads to...
2x+4 < -8
2x+4-4 < -8-4
2x < -12
2x/2 < -12/2
x < -6
So either x > 2 or x < -6
You'll have 2 open circles at 2 and -6 on the number line. The shaded region will be the region to the left of -6 and to the right of 2. Basically everything but in between -6 and 2
Solving 2x+4 > 8 leads to...
2x+4 > 8
2x+4-4 > 8-4
2x > 4
2x/2 > 4/2
x > 2
Solving 2x+4 < -8 leads to...
2x+4 < -8
2x+4-4 < -8-4
2x < -12
2x/2 < -12/2
x < -6
So either x > 2 or x < -6
You'll have 2 open circles at 2 and -6 on the number line. The shaded region will be the region to the left of -6 and to the right of 2. Basically everything but in between -6 and 2