<span>The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-<span>axis</span></span>
|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
658...................................
Amswer:x= -41/20
Solutions:
(2x + 3)2 + 8(2x + 3) + 11 = 0
4x+6+16x+24+11=0
20x+41=0
20x=-41
x= -41/20