|2x+4| > 8 breaks down into two inequalities: 2x+4 > 8 or 2x+4 < -8
Solving <span> 2x+4 > 8 leads to...
</span><span>2x+4 > 8
</span><span>2x+4-4 > 8-4
</span>2x > 4
2x/2 > 4/2
x > 2
Solving <span>2x+4 < -8 leads to...
</span><span>2x+4 < -8
</span><span>2x+4-4 < -8-4
</span>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
Based on limited information, it can only be inferred that angle give is either 160 degrees or 20 degrees.
HCF= highest common factor
LCM= least common multiple
