Answer:
14, 20, 0, 0, 0
Step-by-step explanation:
The notation
indicates the absolute value of x, therefore it can be rewritten as:
if x
0
if x < 0
In this problem, we have the expression
![x+|x|](https://tex.z-dn.net/?f=x%2B%7Cx%7C)
Therefore, we can rewrite it as:
if x ≥ 0:
(a)
If x < 0:
(b)
So now we can substitute the given values into the two expressions:
x = 7 (positive value, so we use expression (a):
![2x=2\cdot 7 = 14](https://tex.z-dn.net/?f=2x%3D2%5Ccdot%207%20%3D%2014)
x = 10 (positive values, so we use expression (a):
![2x=2\cdot 10=20](https://tex.z-dn.net/?f=2x%3D2%5Ccdot%2010%3D20)
x = 0 (zero, so we can use expression (a):
![2x=2\cdot 0=0](https://tex.z-dn.net/?f=2x%3D2%5Ccdot%200%3D0)
x = -3 (negative value, so we use expression (b):
![x+|x|=0](https://tex.z-dn.net/?f=x%2B%7Cx%7C%3D0)
x = -8 (negative value, so we use expression (b):
![x+|x|=0](https://tex.z-dn.net/?f=x%2B%7Cx%7C%3D0)